CoCalc Public Fileswww / 257 / notes / biblio.bibOpen with one click!
Author: William A. Stein
Compute Environment: Ubuntu 18.04 (Deprecated)
1
2
3
@incollection {ribet:comp,
4
AUTHOR = {Ribet, Kenneth A.},
5
TITLE = {On the component groups and the {S}himura subgroup of {$J\sb
6
0(N)$}},
7
BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, 1987--1988 (Talence,
8
1987--1988)},
9
PAGES = {Exp.\ No.\ 6, 10},
10
PUBLISHER = {Univ. Bordeaux I},
11
ADDRESS = {Talence},
12
YEAR = {19??},
13
MRCLASS = {11G05 (11F11)},
14
MRNUMBER = {MR993107 (91b:11070)},
15
}
16
17
18
@book {MR993101,
19
TITLE = {S\'eminaire de {T}h\'eorie des {N}ombres. 1987--1988},
20
NOTE = {Held at the Universit\'e de Bordeaux I, Talence, 1987--1988},
21
PUBLISHER = {Universit\'e de Bordeaux I U.E.R. de Math\'ematiques et
22
d'Informatique Laboratoire de Th\'eorie des Nombres},
23
ADDRESS = {Talence},
24
YEAR = {19??},
25
PAGES = {vi+536},
26
MRCLASS = {11-06},
27
MRNUMBER = {MR993101 (90a:11003)},
28
}
29
30
31
32
@article {cremona-lingham,
33
author = {Cremona, J. and Lingham, M.\thinspace{}P.},
34
title = {Finding all elliptic curves with good reduction
35
outside a given set of primes},
36
year = {2004},
37
journal = {In Progress}
38
}
39
40
@article {rubin-silverberg:ranks,
41
AUTHOR = {Rubin, Karl and Silverberg, Alice},
42
TITLE = {Ranks of elliptic curves},
43
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
44
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
45
VOLUME = {39},
46
YEAR = {2002},
47
NUMBER = {4},
48
PAGES = {455--474 (electronic)},
49
ISSN = {0273-0979},
50
CODEN = {BAMOAD},
51
MRCLASS = {11G05 (11G40)},
52
MRNUMBER = {MR1920278 (2003f:11080)},
53
MRREVIEWER = {Ioannis Papadopoulos},
54
}
55
56
57
@incollection {silverberg:open_questions,
58
AUTHOR = {Silverberg, Alice},
59
TITLE = {Open questions in arithmetic algebraic geometry},
60
BOOKTITLE = {Arithmetic algebraic geometry (Park City, UT, 1999)},
61
SERIES = {IAS/Park City Math. Ser.},
62
VOLUME = {9},
63
PAGES = {83--142},
64
PUBLISHER = {Amer. Math. Soc.},
65
ADDRESS = {Providence, RI},
66
YEAR = {2001},
67
MRCLASS = {11Gxx (14Gxx)},
68
MRNUMBER = {MR1860041 (2002g:11073)},
69
MRREVIEWER = {Joseph H. Silverman},
70
}
71
72
@book {MR1860012,
73
TITLE = {Arithmetic algebraic geometry},
74
SERIES = {IAS/Park City Mathematics Series},
75
VOLUME = {9},
76
EDITOR = {Conrad, Brian and Rubin, Karl},
77
NOTE = {Including papers from the Graduate Summer School of the
78
Institute for Advanced Study/Park City Mathematics Institute
79
held in Park City, UT, June 20--July 10, 1999},
80
PUBLISHER = {American Mathematical Society},
81
ADDRESS = {Providence, RI},
82
YEAR = {2001},
83
PAGES = {xiv+569},
84
ISBN = {0-8218-2173-3},
85
MRCLASS = {11-06 (14-06)},
86
MRNUMBER = {MR1860012 (2002d:11003)},
87
}
88
89
90
@incollection {goldfeld:conjectures_quadratic,
91
AUTHOR = {Goldfeld, Dorian},
92
TITLE = {Conjectures on elliptic curves over quadratic fields},
93
BOOKTITLE = {Number theory, Carbondale 1979 (Proc. Southern Illinois Conf.,
94
Southern Illinois Univ., Carbondale, Ill., 1979)},
95
SERIES = {Lecture Notes in Math.},
96
VOLUME = {751},
97
PAGES = {108--118},
98
PUBLISHER = {Springer},
99
ADDRESS = {Berlin},
100
YEAR = {1979},
101
MRCLASS = {12A70 (14K07)},
102
MRNUMBER = {MR564926 (81i:12014)},
103
MRREVIEWER = {Kenneth Kramer},
104
}
105
106
107
@proceedings {MR564918,
108
TITLE = {Number theory, {C}arbondale 1979},
109
SERIES = {Lecture Notes in Mathematics},
110
VOLUME = {751},
111
BOOKTITLE = {Proceedings of the Southern Illinois Number Theory Conference,
112
held at Southern Illinois University, Carbondale, Ill., March
113
30--31, 1979},
114
EDITOR = {Nathanson, Melvyn B.},
115
PUBLISHER = {Springer},
116
ADDRESS = {Berlin},
117
YEAR = {1979},
118
PAGES = {iv+342},
119
ISBN = {3-540-09559-4},
120
MRCLASS = {10-06},
121
MRNUMBER = {MR564918 (81a:10004)},
122
}
123
124
125
@article {kramarz-zagier,
126
AUTHOR = {Zagier, D. and Kramarz, G.},
127
TITLE = {Numerical investigations related to the {$L$}-series of
128
certain elliptic curves},
129
JOURNAL = {J. Indian Math. Soc. (N.S.)},
130
FJOURNAL = {The Journal of the Indian Mathematical Society. New Series},
131
VOLUME = {52},
132
YEAR = {1987},
133
PAGES = {51--69 (1988)},
134
ISSN = {0019-5839},
135
CODEN = {JIMTA2},
136
MRCLASS = {11G05 (11G40 11Y50)},
137
MRNUMBER = {MR989230 (90d:11072)},
138
MRREVIEWER = {M. Ram Murty},
139
}
140
141
@article{darmon-pollack,
142
author = {Darmon, H. and Pollack, R.},
143
title = {The efficient calculation of {S}tark-{H}eegner points
144
via overconvergent modular symbols},
145
year = {2004}
146
}
147
148
@article{kraus,
149
author = {Kraus, Alain},
150
title = {D\'etermination du poids et du conducteur associ\'es
151
aux repr\'esentations des points de $p$-torsion d'une courbe elliptique}
152
}
153
154
@article{math252,
155
author = {Stein, William},
156
title = {Modular Abelian Varieties, \hfill\mbox{}
157
{\tt http://modular.fas.harvard.edu/edu/Fall2003/252/}},
158
year = {2003}
159
}
160
161
@article{dembele,
162
author = {Dembele, Lassina},
163
title = {Quaternionic Modular Symbols and Computing {H}ilbert Modular Forms,
164
\hfill\mbox{}
165
{\tt http://modular.fas.harvard.edu/mcs/archive/Spring2004/dembele.html}},
166
year = {2004}
167
}
168
169
@article{lemelin:dominic,
170
author = {Lemelin, Dominic},
171
title = {Mazur-Tate Type Conjectures for Elliptic Curves Defined over Quadratic Imaginary Fields},
172
year = {2001}
173
}
174
175
@article{diderot:thesis,
176
author = {Diderot, Denis},
177
title = {P\'eriodes de formes modulaires de poids 1},
178
year = {2001},
179
journal = {{\tt http://modular.fas.harvard.edu/scans/papers/diderot/}}
180
}
181
182
183
@article{basmaji:thesis,
184
author = {Basmaji, Jacques},
185
TITLE = {Ein Algorithmus zur Berechnung von Hecke-Operatoren und
186
Anwendungen auf modulare Kurven},
187
YEAR = {1996},
188
journal={{\tt http://modular.fas.harvard.edu/scans/papers/basmaji/}}
189
}
190
191
@article {sokurov:shimura,
192
AUTHOR = {{\v{S}}okurov, V.\thinspace{}V.},
193
TITLE = {Shimura integrals of cusp forms},
194
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
195
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
196
VOLUME = {44},
197
YEAR = {1980},
198
NUMBER = {3},
199
PAGES = {670--718, 720},
200
ISSN = {0373-2436},
201
MRCLASS = {10D12 (14K22)},
202
MRNUMBER = {MR582162 (82b:10029)},
203
MRREVIEWER = {K.-B. Gundlach},
204
}
205
206
@book {knuth2,
207
AUTHOR = {Knuth, Donald E.},
208
TITLE = {The art of computer programming. {V}ol. 2},
209
EDITION = {Third},
210
NOTE = {Seminumerical algorithms,
211
Addison-Wesley Series in Computer Science and Information
212
Processing},
213
PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.}
214
}
215
216
@Article{ csirik-wetherell-zieve:g0,
217
author = {Csirik, Janos A. and Wetherell, Joseph L. and Zieve,
218
Michael E.},
219
title = {On the genera of {$X_0(N)$}},
220
journal = {See {\tt http://www.csirik.net/papers.html}},
221
year = {2001}
222
}
223
224
@Article{ pr:exp,
225
author = {Perrin-Riou, Bernadette},
226
title = {Arithm\'etique des courbes elliptiques \`a r\'eduction
227
supersinguli\`ere en {$p$}},
228
journal = {Experiment. Math.},
229
fjournal = {Experimental Mathematics},
230
volume = {12},
231
year = {2003},
232
number = {2},
233
pages = {155--186},
234
issn = {1058-6458},
235
mrclass = {11G05},
236
mrnumber = {MR2016704}
237
}
238
239
@Article{ mtt,
240
author = {Mazur, B. and Tate, J. and Teitelbaum, J.},
241
title = {On {$p$}-adic analogues of the conjectures of {B}irch and
242
{S}winnerton-{D}yer},
243
journal = {Invent. Math.},
244
fjournal = {Inventiones Mathematicae},
245
volume = {84},
246
year = {1986},
247
number = {1},
248
pages = {1--48},
249
issn = {0020-9910},
250
coden = {INVMBH},
251
mrclass = {11G40 (11G05 14G10)},
252
mrnumber = {MR830037 (87e:11076)},
253
mrreviewer = {Kenneth A. Ribet}
254
}
255
256
@Article{ serre:asymptotique,
257
author = {Serre, Jean-Pierre},
258
title = {R\'epartition asymptotique des valeurs propres de
259
l'op\'erateur de {H}ecke {$T\sb p$}},
260
journal = {J. Amer. Math. Soc.},
261
fjournal = {Journal of the American Mathematical Society},
262
volume = {10},
263
year = {1997},
264
number = {1},
265
pages = {75--102},
266
issn = {0894-0347},
267
mrclass = {11F30 (11F25 11G20 11N37 11R45)},
268
mrnumber = {97h:11048},
269
mrreviewer = {Glenn Stevens}
270
}
271
272
@Book{ iwaniec:topics,
273
author = {Iwaniec, Henryk},
274
title = {Topics in classical automorphic forms},
275
series = {Graduate Studies in Mathematics},
276
volume = {17},
277
publisher = {American Mathematical Society},
278
address = {Providence, RI},
279
year = {1997},
280
pages = {xii+259},
281
isbn = {0-8218-0777-3},
282
mrclass = {11Fxx (11-02)},
283
mrnumber = {98e:11051},
284
mrreviewer = {B. Ramakrishnan}
285
}
286
287
@Article{ gordon:dlp,
288
author = {Gordon, D.},
289
date = {2004},
290
title = {Discrete Logarithm Problem, \hfill\\ {\tt
291
http://www.win.tue.nl/\~{ }henkvt/Content.html}}
292
}
293
294
@Proceedings{ mr98i:94002,
295
title = {Advances in cryptology---{EUROCRYPT} '97},
296
series = {Lecture Notes in Computer Science},
297
volume = {1233},
298
booktitle = {Proceedings of the 16th International Conference on the
299
Theory and Application of Cryptographic Techniques held in
300
Konstanz, May 11--15, 1997},
301
editor = {Fumy, Walter},
302
publisher = {Springer-Verlag},
303
address = {Berlin},
304
year = {1997},
305
pages = {xii+509},
306
isbn = {3-540-62975-0},
307
mrclass = {94-06 (68P25 94A60)},
308
mrnumber = {98i:94002}
309
}
310
311
@Article{ nechaev:lower,
312
author = {Nechaev, V. I.},
313
title = {On the complexity of a deterministic algorithm for a
314
discrete logarithm},
315
journal = {Mat. Zametki},
316
fjournal = {Rossi\u\i skaya Akademiya Nauk. Matematicheskie Zametki},
317
volume = {55},
318
year = {1994},
319
number = {2},
320
pages = {91--101, 189},
321
issn = {0025-567X},
322
mrclass = {11Y16},
323
mrnumber = {96a:11145}
324
}
325
326
@InCollection{ shoup:lower,
327
author = {Shoup, Victor},
328
title = {Lower bounds for discrete logarithms and related
329
problems},
330
booktitle = {Advances in cryptology---EUROCRYPT '97 (Konstanz)},
331
series = {Lecture Notes in Comput. Sci.},
332
volume = {1233},
333
pages = {256--266},
334
publisher = {Springer},
335
address = {Berlin},
336
year = {1997},
337
mrclass = {94A60 (68P25 68Q25)},
338
mrnumber = {98j:94023}
339
}
340
341
@Article{ gordon:dlog,
342
author = {Gordon, Daniel M.},
343
title = {Discrete logarithms in {${\rm GF}(p)$} using the number
344
field sieve},
345
journal = {SIAM J. Discrete Math.},
346
fjournal = {SIAM Journal on Discrete Mathematics},
347
volume = {6},
348
year = {1993},
349
number = {1},
350
pages = {124--138},
351
issn = {0895-4801},
352
coden = {SJDMEC},
353
mrclass = {11Y16 (11N36)},
354
mrnumber = {94d:11104},
355
mrreviewer = {Joe P. Buhler}
356
}
357
358
@Article{ python,
359
author = {Rossum, Guido van},
360
title = {Python,\newline{\tt http://www.python.org}}
361
}
362
363
@Article{ cha:shabound,
364
author = {Cha, Byungchul},
365
title = {Vanishing of {S}ome {C}ohomology {G}roups and {B}ounds for
366
the {S}hafarevich-{T}ate {G}roups of {E}lliptic {C}urves},
367
journal = {Johns-Hopkins Ph.D. Thesis},
368
year = {2003}
369
}
370
371
@Article{ cassels:7,
372
author = {Cassels, J. W. S.},
373
title = {Arithmetic on curves of genus 1. {VIII}. {O}n conjectures
374
of {B}irch and {S}winnerton-{D}yer},
375
journal = {J. Reine Angew. Math.},
376
volume = {217},
377
year = {1965},
378
pages = {180--199},
379
mrclass = {14.48 (14.49)},
380
mrnumber = {31 \#3420},
381
mrreviewer = {T. Ono}
382
}
383
384
@Article{ kedlaya:mw1,
385
author = {Kedlaya, K.\thinspace{}S.},
386
title = {Errata for: ``{C}ounting points on hyperelliptic curves
387
using {M}onsky-{W}ashnitzer cohomology'' [{J}. {R}amanujan
388
{M}ath.\ {S}oc.\ {\bf 16} (2001), no. 4, 323--338},
389
note = {Dedicated to Professor K. S. Padmanabhan},
390
journal = {J. Ramanujan Math. Soc.},
391
fjournal = {Journal of the Ramanujan Mathematical Society},
392
volume = {18},
393
year = {2003},
394
number = {4},
395
pages = {417--418},
396
issn = {0970-1249},
397
mrclass = {14G05 (11G25 14F43 14G15)},
398
mrnumber = {2 043 934}
399
}
400
401
@Article{ abbott:padic,
402
author = {Abbott, J.},
403
title = {Recovery of algebraic numbers from their $p$-adic
404
approximations},
405
journal = {Proceedings of the ACM-SIGSAM 1989 international symposium
406
on Symbolic and algebraic computation},
407
pages = {112--120},
408
year = {1989},
409
isbn = {0-89791-325-6},
410
publisher = {ACM Press, New York, NY, USA}
411
}
412
413
@Article{ tate:arithmetic,
414
author = {Tate, J.},
415
title = {The arithmetic of elliptic curves},
416
journal = {Invent. Math.},
417
volume = {23},
418
year = {1974},
419
pages = {179--206},
420
mrclass = {10D05 (14G25 14K15)},
421
mrnumber = {54 \#7380},
422
mrreviewer = {A. P. Ogg}
423
}
424
425
@Article{ mazur-tate:sigma,
426
author = {Mazur, B. and Tate, J.},
427
title = {The {$p$}-adic sigma function},
428
journal = {Duke Math. J.},
429
fjournal = {Duke Mathematical Journal},
430
volume = {62},
431
year = {1991},
432
number = {3},
433
pages = {663--688},
434
issn = {0012-7094},
435
coden = {DUMJAO},
436
mrclass = {11G07 (11S80)},
437
mrnumber = {93d:11059}
438
}
439
440
@Book{ artin-tate:cft,
441
author = {Artin, E. and Tate, J.},
442
title = {Class field theory},
443
series = {Advanced Book Classics},
444
edition = {Second},
445
publisher = {Addison-Wesley Publishing Company Advanced Book Program},
446
address = {Redwood City, CA},
447
year = {1990},
448
pages = {xxxviii+259},
449
isbn = {0-201-51011-1},
450
mrclass = {11R37 (11-01 11R34)},
451
mrnumber = {91b:11129}
452
}
453
454
@Article{ mahler:inequalities,
455
author = {Mahler, K.},
456
title = {Inequalities for ideal bases in algebraic number fields},
457
journal = {J. Austral. Math. Soc.},
458
volume = {4},
459
year = {1964},
460
pages = {425--448},
461
mrclass = {12.50},
462
mrnumber = {31 \#1243},
463
mrreviewer = {L. R. McCulloh}
464
}
465
466
@Article{ iwasawa:adele,
467
author = {Iwasawa, K.},
468
title = {On the rings of valuation vectors},
469
journal = {Ann. of Math. (2)},
470
volume = {57},
471
year = {1953},
472
pages = {331--356},
473
mrclass = {10.0X},
474
mrnumber = {14,849a},
475
mrreviewer = {J. T. Tate}
476
}
477
478
@Book{ lang:algebraic_numbers,
479
author = {Lang, S.},
480
title = {Algebraic numbers},
481
publisher = {Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo
482
Alto-London},
483
year = {1964},
484
pages = {ix+163},
485
mrclass = {10.65},
486
mrnumber = {28 \#3974},
487
mrreviewer = {S. Chowla}
488
}
489
490
@Book{ cassels:lectures,
491
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
492
title = {Lectures on elliptic curves},
493
series = {London Mathematical Society Student Texts},
494
volume = {24},
495
publisher = {Cambridge University Press},
496
address = {Cambridge},
497
year = {1991},
498
pages = {vi+137},
499
isbn = {0-521-41517-9; 0-521-42530-1},
500
mrclass = {11G05 (14H52)},
501
mrnumber = {92k:11058},
502
mrreviewer = {Philippe Satg{\'e}}
503
}
504
505
@Article{ lenstra:pell,
506
author = {Lenstra, Jr., H.\thinspace{}W.},
507
title = {Solving the {P}ell equation},
508
journal = {Notices Amer. Math. Soc.},
509
fjournal = {Notices of the American Mathematical Society},
510
volume = {49},
511
year = {2002},
512
number = {2},
513
pages = {182--192},
514
issn = {0002-9920},
515
coden = {AMNOAN},
516
mrclass = {11D09 (01A99 11R27)},
517
mrnumber = {2002i:11028},
518
mrreviewer = {Duncan A. Buell}
519
}
520
521
@Book{ artin:algebra,
522
author = {Artin, M.},
523
title = {Algebra},
524
publisher = {Prentice Hall Inc.},
525
address = {Englewood Cliffs, NJ},
526
year = {1991},
527
pages = {xviii+618},
528
isbn = {0-13-004763-5},
529
mrclass = {00A05 (11-01 12-01 13-01 15-01 16-01 20-01)},
530
mrnumber = {92g:00001},
531
mrreviewer = {Gerald J. Janusz}
532
}
533
534
@Book{ artin:ant,
535
author = {Artin, E.},
536
title = {Theory of algebraic numbers},
537
series = {Notes by Gerhard W\"urges from lectures held at the
538
Mathematisches Institut, G\"ottingen, Germany, in the
539
Winter Semester},
540
volume = {1956/7},
541
publisher = {George Striker, Schildweg 12, G\"ottingen},
542
year = {1959},
543
pages = {172},
544
mrclass = {10.65},
545
mrnumber = {24 \#A1884},
546
mrreviewer = {L. Carlitz}
547
}
548
549
@Book{ am,
550
author = {Atiyah, M. F. and Macdonald, I. G.},
551
title = {Introduction to commutative algebra},
552
publisher = {Addison-Wesley Publishing Co., Reading, Mass.-London-Don
553
Mills, Ont.},
554
year = {1969},
555
pages = {ix+128},
556
mrclass = {13.00},
557
mrnumber = {39 \#4129},
558
mrreviewer = {J. A. Johnson}
559
}
560
561
@Article{ agashe,
562
author = {Agashe, A.},
563
title = {On invisible elements of the {T}ate-{S}hafarevich group},
564
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
565
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
566
Math\'ematique},
567
volume = {328},
568
year = {1999},
569
number = {5},
570
pages = {369--374},
571
issn = {0764-4442},
572
coden = {CASMEI},
573
mrclass = {11Gxx},
574
mrnumber = {1 678 131}
575
}
576
577
@Article{ agashe-stein:bsd,
578
author = "Agashe, A. and Stein, W.\thinspace{}A.",
579
title = "Visible {E}vidence for the {B}irch and {S}winnerton-{D}yer
580
{C}onjecture for {M}odular {A}belian {V}arieties of
581
{A}nalytic {R}ank~$0$",
582
date = 2004,
583
journal = {to appear in Math. of Computation}
584
}
585
586
@Article{ agashe-stein:manin,
587
author = "Agashe, A. and Stein, W.\thinspace{}A.",
588
title = "The Manin Constant, Congruence Primes, and the Modular
589
Degree",
590
year = {2004},
591
journal = {Preprint,\hfill\\ {\tt
592
http://modular.fas.harvard.edu/papers/manin-agashe/}}
593
}
594
@article {lario-schoof,
595
AUTHOR = {Lario, Joan-C. and Schoof, Ren{\'e}},
596
TITLE = {Some computations with {H}ecke rings and deformation rings},
597
NOTE = {With an appendix by Amod Agashe and William Stein},
598
JOURNAL = {Experiment. Math.},
599
FJOURNAL = {Experimental Mathematics},
600
VOLUME = {11},
601
YEAR = {2002},
602
NUMBER = {2},
603
PAGES = {303--311},
604
ISSN = {1058-6458},
605
MRCLASS = {11F80 (11F11 11F25)},
606
MRNUMBER = {MR1959271 (2004b:11072)},
607
MRREVIEWER = {Lea Terracini},
608
}
609
610
611
@Article{ agashe-stein:visibility,
612
author = {Agashe, A. and Stein, W.\thinspace{}A.},
613
title = {Visibility of {S}hafarevich-{T}ate groups of abelian
614
varieties},
615
journal = {J. Number Theory},
616
fjournal = {Journal of Number Theory},
617
volume = {97},
618
year = {2002},
619
number = {1},
620
pages = {171--185},
621
issn = {0022-314X},
622
coden = {JNUTA9},
623
mrclass = {11G40 (11G10 14K15)},
624
mrnumber = {2003h:11070},
625
mrreviewer = {Chandan Singh Dalawat}
626
}
627
628
@Article{ agashe:invisible,
629
author = {Agash{\'e}, Amod},
630
title = {On invisible elements of the {T}ate-{S}hafarevich group},
631
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
632
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
633
Math\'ematique},
634
volume = {328},
635
year = {1999},
636
number = {5},
637
pages = {369--374},
638
issn = {0764-4442},
639
coden = {CASMEI},
640
mrclass = {11G40 (11G10 11G18)},
641
mrnumber = {2000e:11083},
642
mrreviewer = {Kenneth Kramer}
643
}
644
645
@Article{ agashe:phd,
646
author = "Agashe, A.",
647
title = {The {B}irch and {S}winnerton-{D}yer formula for modular
648
abelian varieties of analytic rank~$0$},
649
journal = {Ph.D. thesis, University of California, Berkeley},
650
year = {2000}
651
}
652
653
@Book{ antwerpiv,
654
title = {Modular functions of one variable. {I}{V}},
655
booktitle = {Proceedings of the International Summer School on Modular
656
Functions of One Variable and Arithmetical Applications,
657
RUCA, University of Antwerp, Antwerp, July 17--August 3,
658
1972},
659
editor = {Birch, B.\thinspace{}J. and Kuyk, W.},
660
note = {Lecture Notes in Mathematics, Vol. 476},
661
publisher = {Springer-Verlag},
662
address = {Berlin},
663
year = {1975},
664
pages = {iv+151}
665
}
666
667
@Article{ artin:conjecture,
668
author = {Artin, E.},
669
title = {{\"U}ber eine neue {A}rt von {L}-Reihen},
670
journal = {Abh. Math. Sem. Univ. Hamburg},
671
volume = {3},
672
year = {1923 or 1924??? CHECK!},
673
pages = {89--108}
674
}
675
676
@Article{ artin:conjecture2,
677
author = {Artin, E},
678
title = {Zur {T}heorie der {L}-{R}eihen mit allgemeinen
679
{G}ruppencharakteren},
680
journal = {Abh. math. Semin. Univ. Hamburg},
681
volume = {8},
682
year = {1930},
683
pages = {292--306}
684
}
685
686
@Article{ ash-stevens,
687
author = {Ash, A. and Stevens, G.},
688
title = {Cohomology of arithmetic groups and congruences between
689
systems of {H}ecke eigenvalues},
690
journal = {J. Reine Angew. Math.},
691
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
692
volume = {365},
693
year = {1986},
694
pages = {192--220},
695
issn = {0075-4102},
696
coden = {JRMAA8}
697
}
698
699
@Article{ atkin-lehner,
700
author = {Atkin, A.\thinspace{}O.\thinspace{}L. and Lehner, J.},
701
title = {Hecke operators on \protect{$\Gamma \sb{0}(m)$}},
702
journal = {Math. Ann.},
703
volume = {185},
704
year = {1970},
705
pages = {134--160}
706
}
707
708
@Article{ bdsbt,
709
author = {Buzzard, K. and Dickinson, M. and Shepherd-Barron, N. and
710
Taylor, R.},
711
title = {On icosahedral {A}rtin representations},
712
journal = { \protect{\tt
713
http://www.math.harvard.edu/HTML/Individuals/Richard\_Taylor.html}}
714
,
715
date = {2000}
716
}
717
718
@Book{ bgr,
719
author = {Bosch, S. and G{\"u}ntzer, U. and Remmert, R.},
720
title = {Non-{A}rchimedean analysis: A systematic approach to rigid
721
analytic geometry},
722
publisher = {Springer-Verlag},
723
address = {Berlin},
724
year = {1984},
725
pages = {xii+436},
726
isbn = {3-540-12546-9},
727
mrclass = {32K10 (30G05 46P05)},
728
mrnumber = {86b:32031},
729
mrrevr = {W. Bartenwerfer}
730
}
731
732
@InCollection{ birch:atkin,
733
author = {Birch, B.},
734
title = {Atkin and the {A}tlas {L}ab},
735
booktitle = {Proceedings of the conference in honor of
736
A.\thinspace{}O.\thinspace{}L. Atkin held at the University
737
of Illinois, Chicago, IL, September 1995},
738
pages = {13--20},
739
publisher = {Amer. Math. Soc.},
740
address = {Providence, RI},
741
year = {1998},
742
mrclass = {11-03 (01A60 11F30 11F33)},
743
mrnumber = {99c:11002},
744
mrrevr = {V. Kumar Murty}
745
}
746
747
@InCollection{ birch:bsd,
748
author = {Birch, B.\thinspace{}J.},
749
title = {Elliptic curves over \protect{${\mathbf{Q}}$: {A}}
750
progress report},
751
booktitle = {1969 Number Theory Institute (Proc. Sympos. Pure Math.,
752
Vol. XX, State Univ. New York, Stony Brook, N.Y., 1969)},
753
pages = {396--400},
754
publisher = {Amer. Math. Soc.},
755
address = {Providence, R.I.},
756
year = {1971}
757
}
758
759
@InCollection{ birch:cyclo,
760
author = {Birch, B.\thinspace{}J.},
761
title = {Cyclotomic fields and {K}ummer extensions},
762
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
763
Brighton, 1965)},
764
pages = {85--93},
765
publisher = {Thompson, Washington, D.C.},
766
year = {1967}
767
}
768
769
@InCollection{ birch:edsac,
770
author = {Birch, B. J.},
771
title = {Conjectures concerning elliptic curves},
772
booktitle = {Proceedings of Symposia in Pure Mathematics, VIII},
773
pages = {106--112},
774
publisher = {Amer. Math. Soc.},
775
address = {Providence, R.I.},
776
year = {1965},
777
mrclass = {14.49 (14.40)},
778
mrnumber = {30 \#4759},
779
mrreviewer = {J. W. S. Cassels}
780
}
781
782
@InCollection{ birch:hecke_actions,
783
author = {Birch, B. J.},
784
title = {Hecke actions on classes of ternary quadratic forms},
785
booktitle = {Computational number theory (Debrecen, 1989)},
786
pages = {191--212},
787
publisher = {de Gruyter},
788
address = {Berlin},
789
year = {1991},
790
mrclass = {11E45 (11E20 11F11 11G05 11Y35)},
791
mrnumber = {93i:11047},
792
mrrevr = {Rainer Schulze-Pillot}
793
}
794
795
@InCollection{ bloch-kato,
796
author = {Bloch, S. and Kato, K.},
797
title = {\protect{${L}$}-functions and \protect{T}amagawa numbers
798
of motives},
799
booktitle = {The Grothendieck Festschrift, Vol. \protect{I}},
800
pages = {333--400},
801
publisher = {Birkh\"auser Boston},
802
address = {Boston, MA},
803
year = {1990}
804
}
805
806
@Article{ bockle:density,
807
author = {B{\"o}ckle, Gebhard},
808
title = {On the density of modular points in universal deformation
809
spaces},
810
journal = {Amer. J. Math.},
811
fjournal = {American Journal of Mathematics},
812
volume = {123},
813
year = {2001},
814
number = {5},
815
pages = {985--1007},
816
issn = {0002-9327},
817
coden = {AJMAAN},
818
mrclass = {11F80},
819
mrnumber = {1 854 117}
820
}
821
822
@Article{ bolling:sha,
823
author = {B{\"o}lling, Reinhard},
824
title = {Die {O}rdnung der {S}chafarewitsch-{T}ate-{G}ruppe kann
825
beliebig gro\ss \ werden},
826
journal = {Math. Nachr.},
827
volume = {67},
828
year = {1975},
829
pages = {157--179},
830
mrclass = {14K15},
831
mrnumber = {52 \#5684},
832
mrreviewer = {J. W. S. Cassels}
833
}
834
835
@Proceedings{ boston,
836
title = {Modular forms and \protect{F}ermat's last theorem
837
(Boston,MA, 1995)},
838
editor = {Cornell, G. and Silverman, J.\thinspace{}H. and Stevens,
839
G.},
840
note = {Papers from the Instructional Conference on Number Theory
841
and Arithmetic Geometry held at Boston University, Boston,
842
MA, August 9--18, 1995},
843
publisher = {Springer-Verlag},
844
address = {New York},
845
year = {1997},
846
pages = {xx+582},
847
isbn = {0-387-94609-8}
848
}
849
850
@Article{ boston-lenstra-ribet,
851
author = {N. Boston and \protect{H.\thinspace{}W. Lenstra, Jr.} and
852
K.\thinspace{}A. Ribet},
853
title = {Quotients of group rings arising from two-dimensional
854
representations},
855
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
856
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
857
Math\'ematique},
858
volume = {312},
859
year = {1991},
860
number = {4},
861
pages = {323--328},
862
issn = {0764-4442},
863
coden = {CASMEI}
864
}
865
866
@Article{ breuil-conrad-diamond-taylor,
867
author = {Breuil, C. and Conrad, B. and Diamond, F. and Taylor, R.},
868
title = {On the modularity of elliptic curves over {$\bold Q$}:
869
wild 3-adic exercises},
870
journal = {J. Amer. Math. Soc.},
871
fjournal = {Journal of the American Mathematical Society},
872
volume = {14},
873
year = {2001},
874
number = {4},
875
pages = {843--939 (electronic)},
876
issn = {0894-0347},
877
mrclass = {11G05 (11F80 11G07 14G35)},
878
mrnumber = {2002d:11058},
879
mrreviewer = {Karl Rubin}
880
}
881
882
@Article{ brue,
883
author = {Brueggeman, S.},
884
title = {The non-existence of certain \protect{Galois} extensions
885
unramified outside 5},
886
journal = {Journal of Number Theory},
887
volume = {75},
888
year = {1999},
889
pages = {47--52}
890
}
891
892
@Article{ brumer-mcguinness,
893
author = {Brumer, A. and McGuinness, O.},
894
title = {The behavior of the {M}ordell-{W}eil group of elliptic
895
curves},
896
journal = {Bull. Amer. Math. Soc. (N.S.)},
897
fjournal = {American Mathematical Society. Bulletin. New Series},
898
volume = {23},
899
year = {1990},
900
number = {2},
901
pages = {375--382},
902
issn = {0273-0979},
903
coden = {BAMOAD},
904
mrclass = {11G40 (11-04 11G05)},
905
mrnumber = {91b:11076},
906
mrreviewer = {Kenneth Kramer},
907
note = {\protect{\tt http://shimura.math.berkeley.edu/\~{ }oisin/}}
908
}
909
910
@Article{ brumer:rank,
911
author = {Brumer, A.},
912
title = {The rank of \protect{${J}\sb 0({N})$}},
913
note = {Columbia University Number Theory Seminar (New York,
914
1992)},
915
journal = {Ast\'erisque},
916
fjournal = {Ast\'erisque},
917
number = {228},
918
year = {1995},
919
pages = {3, 41--68},
920
issn = {0303-1179}
921
}
922
923
@Article{ buhler-gross,
924
author = {Buhler, J.\thinspace{}P. and Gross, B.\thinspace{}H.},
925
title = {Arithmetic on elliptic curves with complex multiplication.
926
{I}{I}},
927
journal = {Invent. Math.},
928
fjournal = {Inventiones Mathematicae},
929
volume = {79},
930
year = {1985},
931
number = {1},
932
pages = {11--29},
933
issn = {0020-9910},
934
coden = {INVMBH},
935
mrclass = {11G40 (11G05 14K22)},
936
mrnumber = {86j:11066},
937
mrreviewer = {Kenneth Kramer}
938
}
939
940
@Book{ buhler:thesis,
941
author = {Buhler, J.\thinspace{}P.},
942
title = {Icosahedral \protect{G}alois representations},
943
note = {Lecture Notes in Mathematics, Vol. 654},
944
publisher = {Springer-Verlag},
945
address = {Berlin},
946
year = {1978},
947
pages = {ii+143},
948
isbn = {3-540-08844-X}
949
}
950
951
@Article{ bump-friedberg-hoffstein,
952
author = {Bump, D. and Friedberg, S. and Hoffstein, J.},
953
title = {Eisenstein series on the metaplectic group and
954
nonvanishing theorems for automorphic
955
\protect{${L}$}-functions and their derivatives},
956
journal = {Ann. of Math. (2)},
957
fjournal = {Annals of Mathematics. Second Series},
958
volume = {131},
959
year = {1990},
960
number = {1},
961
pages = {53--127},
962
issn = {0003-486X},
963
coden = {ANMAAH}
964
}
965
966
@Article{ buzzard-stein:artin,
967
author = {Buzzard, K. and Stein, W.\thinspace{}A.},
968
title = {A mod five approach to modularity of icosahedral {G}alois
969
representations},
970
journal = {Pacific J. Math.},
971
fjournal = {Pacific Journal of Mathematics},
972
volume = {203},
973
year = {2002},
974
number = {2},
975
pages = {265--282},
976
issn = {0030-8730},
977
coden = {PJMAAI},
978
mrclass = {11F80},
979
mrnumber = {2003c:11052},
980
mrreviewer = {Mark Edward Tristan Dickinson}
981
}
982
983
@Article{ buzzard-taylor,
984
author = {Buzzard, K. and Taylor, R.},
985
title = {Companion forms and weight one forms},
986
journal = {Ann. of Math. (2)},
987
fjournal = {Annals of Mathematics. Second Series},
988
volume = {149},
989
year = {1999},
990
number = {3},
991
pages = {905--919},
992
issn = {0003-486X},
993
coden = {ANMAAH},
994
mrclass = {11Fxx},
995
mrnumber = {1 709 306}
996
}
997
998
@Article{ buzzard:level,
999
author = {Buzzard, K.},
1000
title = {On level-lowering for mod 2 representations},
1001
journal = {preprint}
1002
}
1003
1004
@Article{ buzzard:t2,
1005
author = {Buzzard, Kevin},
1006
title = {On the eigenvalues of the {H}ecke operator {$T\sb 2$}},
1007
journal = {J. Number Theory},
1008
fjournal = {Journal of Number Theory},
1009
volume = {57},
1010
year = {1996},
1011
number = {1},
1012
pages = {130--132},
1013
issn = {0022-314X},
1014
coden = {JNUTA9},
1015
mrclass = {11F25},
1016
mrnumber = {96m:11033},
1017
mrreviewer = {Thomas R. Shemanske}
1018
}
1019
1020
@Article{ carayol:modell,
1021
author = {Carayol, H.},
1022
title = {Sur les \protect{repr\'esentations} galoisiennes modulo
1023
\protect{$\ell$ attach\'ees} aux formes modulaires},
1024
journal = {Duke Math. J.},
1025
volume = {59},
1026
year = {1989},
1027
pages = {785--801}
1028
}
1029
1030
@Article{ carearly,
1031
author = "Carayol, H.",
1032
title = {Sur les \protect{repr\'esentations}
1033
\protect{$\ell$-adiques} \protect{associ\'ees} aux formes
1034
modulaires de \protect{Hilbert}},
1035
journal = {Ann. scient. \protect{\'Ec.} Norm. Sup., \protect{$4^{\rm
1036
eb}$ s\'erie}},
1037
volume = {19},
1038
year = {1986},
1039
pages = {409--468}
1040
}
1041
1042
@InProceedings{ casselman,
1043
author = {Casselman, W.},
1044
title = {On representations of \protect{${\rm {G}{L}}\sb{2}$} and
1045
the arithmetic of modular curves},
1046
booktitle = {Modular functions of one variable, II (Proc. Internat.
1047
Summer School, Univ. Antwerp, Antwerp, 1972)},
1048
pages = {107--141. Lecture Notes in Math., Vol. 349},
1049
publisher = {Springer},
1050
address = {Berlin},
1051
year = {1973}
1052
}
1053
1054
@Book{ cassels-flynn,
1055
author = {Cassels, J.\thinspace{}W.\thinspace{}S. and Flynn,
1056
E.\thinspace{}V.},
1057
title = {Prolegomena to a middlebrow arithmetic of curves of genus
1058
\protect{$2$}},
1059
publisher = {Cambridge University Press},
1060
address = {Cambridge},
1061
year = {1996},
1062
pages = {xiv+219},
1063
isbn = {0-521-48370-0},
1064
mrclass = {11G30 (11Y50 14G25)},
1065
mrnumber = {97i:11071},
1066
mrrevr = {Joseph H. Silverman}
1067
}
1068
1069
@Proceedings{ cassels-frohlich,
1070
title = {Algebraic number theory},
1071
booktitle = {Proceedings of the instructional conference held at the
1072
University of Sussex, Brighton, September 1--17, 1965},
1073
editor = {Cassels, J.\thinspace{}W.\thinspace{}S. and
1074
\protect{Fr{\"o}hlich}, A.},
1075
note = {Reprint of the 1967 original},
1076
publisher = {Academic Press Inc. [Harcourt Brace Jovanovich
1077
Publishers]},
1078
address = {London},
1079
year = {1986},
1080
pages = {xviii+366},
1081
isbn = {0-12-163251-2}
1082
}
1083
1084
@Article{ cassels:arithmeticiii,
1085
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1086
title = {{A}rithmetic on curves of genus $1$. {I}{I}{I}. {T}he
1087
{T}ate-\v {S}afarevi\v c and {S}elmer groups},
1088
journal = {Proc. London Math. Soc. (3)},
1089
volume = {12},
1090
year = {1962},
1091
pages = {259--296},
1092
mrclass = {14.49},
1093
mrnumber = {29 \#1212}
1094
}
1095
1096
@Article{ cassels:arithmeticiv,
1097
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1098
title = {Arithmetic on curves of genus \protect{$1$}. {I}{V}.
1099
{P}roof of the {H}auptvermutung},
1100
journal = {J. Reine Angew. Math.},
1101
volume = {211},
1102
year = {1962},
1103
pages = {95--112}
1104
}
1105
1106
@Article{ cassels:arithmeticv,
1107
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1108
title = {Arithmetic on curves of genus 1. {V}. {T}wo
1109
counterexamples},
1110
journal = {J. London Math. Soc.},
1111
volume = {38},
1112
year = {1963},
1113
pages = {244--248}
1114
}
1115
1116
@Article{ cassels:bigsha,
1117
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1118
title = {Arithmetic on curves of genus $1$. {V}{I}. {T}he {T}ate-\v
1119
{S}afarevi\v c group can be arbitrarily large},
1120
journal = {J. Reine Angew. Math.},
1121
volume = {214/215},
1122
year = {1964},
1123
pages = {65--70},
1124
mrclass = {14.49 (10.12)},
1125
mrnumber = {29 \#104},
1126
mrreviewer = {P. Abellanas}
1127
}
1128
1129
@Article{ cassels:diophantinecurve,
1130
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1131
title = {Diophantine equations with special reference to elliptic
1132
curves},
1133
journal = {J. London Math. Soc.},
1134
volume = {41},
1135
year = {1966},
1136
pages = {193--291}
1137
}
1138
1139
@InCollection{ cassels:global,
1140
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1141
title = {Global fields},
1142
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
1143
Brighton, 1965)},
1144
pages = {42--84},
1145
publisher = {Thompson, Washington, D.C.},
1146
year = {1967}
1147
}
1148
1149
@Article{ cerednik,
1150
author = {{\v{C}}erednik, I.\thinspace{}V.},
1151
title = {Uniformization of algebraic curves by discrete arithmetic
1152
subgroups of \protect{${\rm {P}{G}{L}}\sb{2}(k\sb{w})$}
1153
with compact quotient spaces},
1154
journal = {Mat. Sb. (N.S.)},
1155
volume = {100(142)},
1156
year = {1976},
1157
number = {1},
1158
pages = {59--88, 165}
1159
}
1160
1161
@Article{ cheryl,
1162
author = {Beaver, Cheryl DeLorme},
1163
title = {$5$-torsion in the {S}hafarevich-{T}ate group of a family
1164
of elliptic curves},
1165
journal = {J. Number Theory},
1166
fjournal = {Journal of Number Theory},
1167
volume = {82},
1168
year = {2000},
1169
number = {1},
1170
pages = {25--46},
1171
issn = {0022-314X},
1172
coden = {JNUTA9},
1173
mrclass = {11G05 (11G07)},
1174
mrnumber = {2001d:11059},
1175
mrreviewer = {Kenneth Kramer}
1176
}
1177
1178
@Article{ chevalley:thm,
1179
author = {Chevalley, C.},
1180
title = {Une d\'emonstration d'un th\'eor\`eme sur les groupes
1181
alg\'ebriques},
1182
journal = {J. Math. Pures Appl. (9)},
1183
volume = {39},
1184
year = {1960},
1185
pages = {307--317},
1186
mrclass = {14.50},
1187
mrnumber = {23 \#A3743},
1188
mrreviewer = {I. Barsotti}
1189
}
1190
1191
@Book{ cime-1997,
1192
author = "Viola, C.",
1193
title = "{Arithmetic theory of elliptic curves. Lectures given at
1194
the 3rd session of the {C}entro {I}nternazionale
1195
{M}atematico {E}stivo \protect{(CIME)}.}",
1196
language = "English",
1197
source = "{{L}ecture {N}otes in {M}athematics. 1716. {B}erlin:
1198
{S}pringer. viii, 260 p. DM 74.00; oeS 541.00; sFr. 67.50;
1199
\sterling 28.50; \$ 52.80 (1999). [ISBN 3-540-66546-3/hbk;
1200
ISSN 0075-8434]}",
1201
publisher = {Springer-Verlag},
1202
address = {Berlin},
1203
year = {1997},
1204
pages = {260}
1205
}
1206
1207
@Article{ cmi:problems,
1208
author = {Clay Mathematics Institute},
1209
title = {Millennium Prize Problems,\hfill\\{\tt
1210
http://www.claymath.org/Millennium\_Prize\_Problems/}}
1211
}
1212
1213
@Article{ coates-wiles:bsd,
1214
author = {Coates, J. and Wiles, A.},
1215
title = {On the conjecture of {B}irch and {S}winnerton-{D}yer},
1216
journal = {Invent. Math.},
1217
volume = {39},
1218
year = {1977},
1219
number = {3},
1220
pages = {223--251},
1221
mrclass = {14G10 (10D15 14G25)},
1222
mrnumber = {57 \#3134},
1223
mrreviewer = {Kenneth A. Ribet}
1224
}
1225
1226
@Article{ cohen-oesterle:dimensions,
1227
author = {Cohen, H. and Oesterl{\'e}, J.},
1228
title = {Dimensions des espaces de formes modulaires},
1229
booktitle = {Modular functions of one variable, VI (Proc. Second
1230
Internat. Conf., Univ. Bonn, Bonn, 1976)},
1231
pages = {69--78. Lecture Notes in Math., Vol. 627},
1232
publisher = {Springer},
1233
address = {Berlin},
1234
year = {1977},
1235
mrclass = {10D15},
1236
mrnumber = {57 \#12396},
1237
mrrevr = {R. A. Rankin}
1238
}
1239
1240
@Book{ cohen:course_ant,
1241
author = {Cohen, H.},
1242
title = {A course in computational algebraic number theory},
1243
publisher = {Springer-Verlag},
1244
address = {Berlin},
1245
year = {1993},
1246
pages = {xii+534},
1247
isbn = {3-540-55640-0},
1248
mrclass = {11Y40 (11Rxx 68Q40)},
1249
mrnumber = {94i:11105},
1250
mrreviewer = {Joe P. Buhler}
1251
}
1252
1253
@Article{ coleman-edixhoven,
1254
author = {Coleman, R.\thinspace{}F. and Edixhoven, B.},
1255
title = {On the semi-simplicity of the \protect{${U}\sb
1256
p$}-operator on modular forms},
1257
journal = {Math. Ann.},
1258
fjournal = {Mathematische Annalen},
1259
volume = {310},
1260
year = {1998},
1261
number = {1},
1262
pages = {119--127},
1263
issn = {0025-5831},
1264
coden = {MAANA},
1265
mrclass = {11F25 (11F11 11F33 11F85)},
1266
mrnumber = {99b:11043},
1267
mrrevr = {Alexey A. Panchishkin}
1268
}
1269
1270
@Article{ coleman-stein:padicapprox,
1271
author = {Coleman, R.},
1272
title = {Approximation of Infinite-Slope Modular Eigenforms By
1273
Finite-Slope Eigenforms},
1274
journal = {to appear in the Dwork Proceedings},
1275
year = {2003}
1276
}
1277
1278
@Article{ coleman-voloch,
1279
author = {Coleman, R.\thinspace{}F. and Voloch, J.\thinspace{}F.},
1280
title = {Companion forms and \protect{K}odaira-\protect{S}pencer
1281
theory},
1282
journal = {Invent. Math.},
1283
fjournal = {Inventiones Mathematicae},
1284
volume = {110},
1285
year = {1992},
1286
number = {2},
1287
pages = {263--281},
1288
issn = {0020-9910},
1289
coden = {INVMBH}
1290
}
1291
1292
@Article{ coleman:banach,
1293
author = {Coleman, R.\thinspace{}F.},
1294
title = {$p$-adic {B}anach spaces and families of modular forms},
1295
journal = {Invent. Math.},
1296
fjournal = {Inventiones Mathematicae},
1297
volume = {127},
1298
year = {1997},
1299
number = {3},
1300
pages = {417--479},
1301
issn = {0020-9910},
1302
coden = {INVMBH},
1303
mrclass = {11F33 (11F67 11F85 11G07 14E30)},
1304
mrnumber = {98b:11047},
1305
mrrevr = {Alexey A. Panchishkin}
1306
}
1307
1308
@Article{ coleman:classical,
1309
author = {Coleman, R.\thinspace{}F.},
1310
title = {Classical and overconvergent modular forms},
1311
journal = {Invent. Math.},
1312
fjournal = {Inventiones Mathematicae},
1313
volume = {124},
1314
year = {1996},
1315
number = {1-3},
1316
pages = {215--241},
1317
issn = {0020-9910},
1318
coden = {INVMBH},
1319
mrclass = {11F85 (14G20)},
1320
mrnumber = {97d:11090a},
1321
mrrevr = {Fernando Q. Gouv\^ea}
1322
}
1323
1324
@Article{ coleman:classical_higher,
1325
author = {Coleman, R.\thinspace{}F.},
1326
title = {Classical and overconvergent modular forms of higher
1327
level},
1328
journal = {J. Th\'eor. Nombres Bordeaux},
1329
fjournal = {Journal de Th\'eorie des Nombres de Bordeaux},
1330
volume = {9},
1331
year = {1997},
1332
number = {2},
1333
pages = {395--403},
1334
issn = {1246-7405},
1335
mrclass = {11F85 (11F11)},
1336
mrnumber = {99g:11071},
1337
mrrevr = {Conjeeveram S. Rajan}
1338
}
1339
1340
@Article{ coleman:monodromy,
1341
author = {Coleman, R.},
1342
title = {The {M}onodromy {P}airing},
1343
journal = {Asian Math. Journal},
1344
volume = {4},
1345
year = {2000},
1346
pages = {315--330}
1347
}
1348
1349
@Article{ coleman:serre,
1350
author = {Coleman, R.\thinspace{}F.},
1351
title = {Serre's conjecture: {T}he {J}ugentraum of the 20th
1352
century},
1353
note = {XII School of Algebra, Part I (Portuguese) (Diamantina,
1354
1992)},
1355
journal = {Mat. Contemp.},
1356
fjournal = {Matem\'atica Contempor\cflex anea},
1357
volume = {6},
1358
year = {1994},
1359
pages = {13--18},
1360
issn = {0103-9059},
1361
mrclass = {12F05 (11F03 12F12)},
1362
mrnumber = {95j:12003},
1363
mrrevr = {Henri Darmon}
1364
}
1365
1366
@Article{ colmez_fontaine,
1367
author = {Colmez, P. and Fontaine, J.-M.},
1368
title = {Construction des repr\'esentations {$p$}-adiques
1369
semi-stables},
1370
journal = {Invent. Math.},
1371
fjournal = {Inventiones Mathematicae},
1372
volume = {140},
1373
year = {2000},
1374
number = {1},
1375
pages = {1--43},
1376
issn = {0020-9910},
1377
coden = {INVMBH},
1378
mrclass = {11S23 (14F30 14F40)},
1379
mrnumber = {2001g:11184},
1380
mrreviewer = {Mark Kisin}
1381
}
1382
1383
@Article{ conrad-diamond-taylor:modularity,
1384
author = {Conrad, B. and Diamond, F. and Taylor, R.},
1385
title = {Modularity of certain potentially
1386
\protect{B}arsotti-\protect{T}ate \protect{G}alois
1387
representations},
1388
journal = {J. Amer. Math. Soc.},
1389
fjournal = {Journal of the American Mathematical Society},
1390
volume = {12},
1391
year = {1999},
1392
number = {2},
1393
pages = {521--567},
1394
issn = {0894-0347}
1395
}
1396
1397
@Article{ conrad-edixhoven-stein:j1p,
1398
author = {Conrad, B. and Edixhoven, S. and Stein, W.\thinspace{}A.},
1399
title = {${J}_1(p)$ {H}as {C}onnected {F}ibers},
1400
year = 2003,
1401
journal = {Documenta Mathematica},
1402
volume = {8},
1403
pages = {331--408}
1404
}
1405
1406
@Article{ conrad-stein:compgroup,
1407
author = {Conrad, B. and Stein, W.\thinspace{}A.},
1408
title = {Component groups of purely toric quotients},
1409
journal = {Math. Res. Lett.},
1410
fjournal = {Mathematical Research Letters},
1411
volume = {8},
1412
year = {2001},
1413
number = {5-6},
1414
pages = {745--766},
1415
issn = {1073-2780},
1416
mrclass = {11G18 (11G10 11G40 14K15)},
1417
mrnumber = {2003f:11087},
1418
mrreviewer = {Antoine Chambert-Loir}
1419
}
1420
1421
@Article{ conrad:eulerprod,
1422
author = {Conrad, K.},
1423
title = {{P}artial {E}uler products on the critical line},
1424
journal = {Preprint},
1425
year = {2003}
1426
}
1427
1428
@InCollection{ conrad:shimura,
1429
author = {Conrad, B.},
1430
title = {The Shimura Construction in Weight 2 (appendix to
1431
{R}ibet-{S}tein, {L}ectures on {S}erre's {C}onjecture)},
1432
booktitle = {Arithmetic algebraic geometry (Park City, UT, 1999)},
1433
series = {IAS/Park City Math. Ser.},
1434
volume = {9},
1435
pages = {205--232},
1436
publisher = {Amer. Math. Soc.},
1437
address = {Providence, RI},
1438
year = {2001},
1439
mrclass = {11F80 (11F66 11G05)},
1440
mrnumber = {2002h:11047}
1441
}
1442
1443
@InCollection{ conrey-farmer:nonvanish,
1444
author = {Conrey, J.\thinspace{}B. and Farmer, D.\thinspace{}W.},
1445
title = {Hecke operators and the nonvanishing of {$L$}-functions},
1446
booktitle = {Topics in number theory (University Park, PA, 1997)},
1447
series = {Math. Appl.},
1448
volume = {467},
1449
pages = {143--150},
1450
publisher = {Kluwer Acad. Publ.},
1451
address = {Dordrecht},
1452
year = {1999},
1453
mrclass = {11F67 (11F25)},
1454
mrnumber = {2000f:11055},
1455
mrreviewer = {Vinayak Vatsal}
1456
}
1457
1458
@Article{ cremona-luiz,
1459
title = {\protect{C++} matrix classes},
1460
author = {Cremona, J.\thinspace{}E. and Luiz F.}
1461
}
1462
1463
@Article{ cremona-mazur,
1464
author = {Cremona, J.\thinspace{}E. and Mazur, B.},
1465
title = {Visualizing elements in the {S}hafarevich-{T}ate group},
1466
journal = {Experiment. Math.},
1467
fjournal = {Experimental Mathematics},
1468
volume = {9},
1469
year = {2000},
1470
number = {1},
1471
pages = {13--28},
1472
issn = {1058-6458},
1473
mrclass = {11Gxx (14Gxx)},
1474
mrnumber = {1 758 797}
1475
}
1476
1477
@Book{ cremona:algs,
1478
author = {Cremona, J.\thinspace{}E.},
1479
title = {Algorithms for modular elliptic curves},
1480
edition = {Second},
1481
publisher = {Cambridge University Press},
1482
address = {Cambridge},
1483
year = {1997},
1484
pages = {vi+376},
1485
isbn = {0-521-59820-6},
1486
note = {Complete text available at {\tt
1487
http://www.maths.nott.ac.uk/personal/jec/book/}}
1488
}
1489
1490
@Article{ cremona:gammaone,
1491
author = {Cremona, J.\thinspace{}E.},
1492
title = {Modular symbols for \protect{$\Gamma\sb 1({N})$} and
1493
elliptic curves with everywhere good reduction},
1494
journal = {Math. Proc. Cambridge Philos. Soc.},
1495
fjournal = {Mathematical Proceedings of the Cambridge Philosophical
1496
Society},
1497
volume = {111},
1498
year = {1992},
1499
number = {2},
1500
pages = {199--218},
1501
issn = {0305-0041},
1502
coden = {MPCPCO}
1503
}
1504
1505
@Article{ cremona:onlinetables,
1506
author = {Cremona, J.\thinspace{}E.},
1507
title = {Elliptic curves of conductor \protect{$\leq
1508
25000$},\hfill\\ {\tt
1509
http://www.maths.nott.ac.uk/personal/jec/ftp/data/}}
1510
}
1511
1512
@Article{ cremona:periods,
1513
author = {Cremona, J.\thinspace{}E.},
1514
title = {Computing periods of cusp forms and modular elliptic
1515
curves},
1516
journal = {Experiment. Math.},
1517
fjournal = {Experimental Mathematics},
1518
volume = {6},
1519
year = {1997},
1520
number = {2},
1521
pages = {97--107},
1522
issn = {1058-6458}
1523
}
1524
1525
@Book{ curtis-reiner,
1526
author = {Curtis, C.\thinspace{}W. and Reiner, I.},
1527
title = {Representation theory of finite groups and associative
1528
algebras},
1529
note = {Pure and Applied Mathematics, Vol. XI},
1530
publisher = {Interscience Publishers, a division of John Wiley \& Sons,
1531
New York-London},
1532
year = {1962},
1533
pages = {xiv+685}
1534
}
1535
1536
@InCollection{ darmon-bsd,
1537
author = {Darmon, H.},
1538
title = {Wiles' theorem and the arithmetic of elliptic curves},
1539
booktitle = {Modular forms and Fermat's last theorem (Boston, MA,
1540
1995)},
1541
pages = {549--569},
1542
publisher = {Springer},
1543
address = {New York},
1544
year = {1997},
1545
mrclass = {11G40 (11G05)},
1546
mrnumber = {1 638 495}
1547
}
1548
1549
@Article{ darmon-merel,
1550
author = {Darmon, H. and Merel, L.},
1551
title = {Winding quotients and some variants of {F}ermat's last
1552
theorem},
1553
journal = {J. Reine Angew. Math.},
1554
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
1555
volume = {490},
1556
year = {1997},
1557
pages = {81--100},
1558
issn = {0075-4102},
1559
coden = {JRMAA8},
1560
mrclass = {11G18 (11D41 11F80 11G05)},
1561
mrnumber = {98h:11076},
1562
mrrevr = {Kenneth Kramer}
1563
}
1564
1565
@InCollection{ darmon:serre,
1566
author = {Darmon, Henri},
1567
title = {Serre's conjectures},
1568
booktitle = {Seminar on Fermat's Last Theorem (Toronto, ON,
1569
1993--1994)},
1570
pages = {135--153},
1571
publisher = {Amer. Math. Soc.},
1572
address = {Providence, RI},
1573
year = {1995},
1574
mrclass = {11F80 (11F11 11R32)},
1575
mrnumber = {96h:11048},
1576
mrrevr = {Dipendra Prasad}
1577
}
1578
1579
@InCollection{ ddt,
1580
author = {Darmon, H. and Diamond, F. and Taylor, R.},
1581
title = {Fermat's last theorem},
1582
booktitle = {Current developments in mathematics, 1995 (Cambridge,
1583
MA)},
1584
pages = {1--154},
1585
publisher = {Internat. Press},
1586
address = {Cambridge, MA},
1587
year = {1994}
1588
}
1589
1590
@InProceedings{ deligne,
1591
author = {Deligne, P.},
1592
title = {Formes modulaires et \protect{repr\'{e}sentations
1593
$\ell$-adiques.}},
1594
note = {Lecture Notes in Mathematics, Vol. 179},
1595
publisher = {Springer-Verlag},
1596
booktitle = {\protect{S\'{e}m.} Bourbaki no. 355, 1968/69},
1597
address = {Berlin and New York},
1598
year = {1971},
1599
pages = {139--172}
1600
}
1601
1602
@InProceedings{ deligne-rapoport,
1603
author = {Deligne, P. and Rapoport, M.},
1604
title = {Les sch\'emas de modules de courbes elliptiques},
1605
booktitle = {Modular functions of one variable, II (Proc. Internat.
1606
Summer School, Univ. Antwerp, Antwerp, 1972)},
1607
pages = {143--316. Lecture Notes in Math., Vol. 349},
1608
publisher = {Springer},
1609
address = {Berlin},
1610
year = {1973}
1611
}
1612
1613
@Article{ deligne-serre,
1614
author = {Deligne, P. and Serre, J-P.},
1615
title = {Formes modulaires de poids $1$},
1616
journal = {Ann. Sci. \'Ecole Norm. Sup. (4)},
1617
volume = {7},
1618
year = {1974},
1619
pages = {507--530 (1975)}
1620
}
1621
1622
@InCollection{ diamond-im,
1623
author = {Diamond, F. and Im, J.},
1624
title = {Modular forms and modular curves},
1625
booktitle = {Seminar on {F}ermat's {L}ast {T}heorem},
1626
pages = {39--133},
1627
pppublisher = {Amer. Math. Soc.},
1628
address = {Providence, RI},
1629
year = {1995}
1630
}
1631
1632
@Article{ diamond-kramer,
1633
author = {Diamond, F. and Kramer, K.},
1634
title = {Modularity of a family of elliptic curves},
1635
journal = {Math. Res. Lett.},
1636
fjournal = {Mathematical Research Letters},
1637
volume = {2},
1638
year = {1995},
1639
number = {3},
1640
pages = {299--304},
1641
issn = {1073-2780}
1642
}
1643
1644
@InProceedings{ diamond:refined,
1645
author = {Diamond, F.},
1646
title = {The refined conjecture of \protect{S}erre},
1647
booktitle = {Elliptic curves, modular forms, \& \protect{F}ermat's last
1648
theorem (\protect{H}ong \protect{K}ong, 1993)},
1649
pages = {22--37},
1650
publisher = {Internat. Press},
1651
address = {Cambridge, MA},
1652
year = {1995}
1653
}
1654
1655
@Article{ dickinson:thesis,
1656
author = {Dickinson, M.},
1657
title = {On the modularity of certain $2$-adic Galois
1658
representations},
1659
journal = {Harvard Ph.D. thesis},
1660
year = {2000}
1661
}
1662
1663
@Book{ dixcohomologie,
1664
title = {Dix expos\'es sur la cohomologie des sch\'emas},
1665
note = {Advanced Studies in Pure Mathematics, Vol. 3},
1666
publisher = {North-Holland Publishing Co.},
1667
address = {Amsterdam},
1668
year = {1968},
1669
pages = {vi+386},
1670
mrclass = {14.55},
1671
mrnumber = {39 #2777}
1672
}
1673
1674
@Article{ doud,
1675
author = {Doud, D.},
1676
title = {\protect{${S}\sb 4$} and \protect{$\tilde {S}{}\sb 4$}
1677
extensions of \protect{${\bf {Q}}$} ramified at only one prime},
1678
journal = {J. Number Theory},
1679
fjournal = {Journal of Number Theory},
1680
volume = {75},
1681
year = {1999},
1682
number = {2},
1683
pages = {185--197},
1684
issn = {0022-314X},
1685
coden = {JNUTA9}
1686
}
1687
1688
@Article{ drinfeld:coverings,
1689
author = {Drinfeld, V.\thinspace{}G.},
1690
title = {Coverings of \protect{$p$-adic} symmetric domains},
1691
journal = {Funkcional. Anal. i Prilov zen.},
1692
volume = {10},
1693
year = {1976},
1694
number = {2},
1695
pages = {29--40}
1696
}
1697
1698
@Article{ dummigan-stein-watkins:motives,
1699
author = {Dummigan, N. and Watkins, M. and Stein, W.\thinspace{}A.},
1700
title = {{Constructing Elements in Shafarevich-Tate Groups of
1701
Modular Motives}},
1702
journal = {Number theory and algebraic geometry, ed. by Miles Reid
1703
and Alexei Skorobogatov},
1704
year = {2003},
1705
volume = {303},
1706
series = {Lecture Notes Series},
1707
publisher = {Cambridge Univ. Press},
1708
pages = {91--118}
1709
}
1710
1711
@Article{ dummigan:cp,
1712
author = {Dummigan, N.},
1713
title = {Period ratios of modular forms},
1714
journal = {to appear in Math. Annalen}
1715
}
1716
1717
@Article{ edixcole,
1718
author = {Coleman, R.\thinspace{}F. and Edixhoven, B.},
1719
title = {On the semi-simplicity of the \protect{${U}\sb
1720
p$}-operator on modular forms},
1721
journal = {Math. Ann.},
1722
fjournal = {Mathematische Annalen},
1723
volume = {310},
1724
year = {1998},
1725
number = {1},
1726
pages = {119--127},
1727
issn = {0025-5831},
1728
coden = {MAANA}
1729
}
1730
1731
@Article{ edixhoven:comparison,
1732
author = {Edixhoven, B.},
1733
title = {Comparison of integral structures on spaces of modular
1734
forms of weight two, and computation of spaces of forms
1735
mod~$2$ of weight one},
1736
date = {July, 2003},
1737
journal = {preprint}
1738
}
1739
1740
@Article{ edixhoven:eisen,
1741
author = {Edixhoven, B.},
1742
title = {L'action de l'alg\`ebre de \protect{H}ecke sur les groupes
1743
de composantes des jacobiennes des courbes modulaires est
1744
``\protect{E}isenstein''},
1745
note = {Courbes modulaires et courbes de Shimura (Orsay,
1746
1987/1988)},
1747
journal = {Ast\'erisque},
1748
fjournal = {Ast\'erisque},
1749
number = {196--197},
1750
year = {1991},
1751
pages = {7--8, 159--170 (1992)},
1752
issn = {0303-1179}
1753
}
1754
1755
@Article{ edixhoven:erratum,
1756
author = {Edixhoven, B.},
1757
title = {Erratum and addendum: ``{T}he role of {S}erre's conjecture
1758
in the proof of {F}ermat's theorem''},
1759
journal = {Gaz. Math.},
1760
fjournal = {Gazette des Math\'ematiciens},
1761
number = {67},
1762
year = {1996},
1763
pages = {19},
1764
issn = {0224-8999},
1765
mrclass = {11F33 (11D41 11F80 11G05)},
1766
mrnumber = {96k:11055b},
1767
mrrevr = {Fernando Q. Gouv\^ea}
1768
}
1769
1770
@InCollection{ edixhoven:manin,
1771
author = {Edixhoven, B.},
1772
title = {On the {M}anin constants of modular elliptic curves},
1773
booktitle = {Arithmetic algebraic geometry (Texel, 1989)},
1774
pages = {25--39},
1775
publisher = {Birkh\"auser Boston},
1776
address = {Boston, MA},
1777
year = {1991},
1778
mrclass = {11G05 (14G25)},
1779
mrnumber = {92a:11066},
1780
mrreviewer = {Philippe Satg{\'e}}
1781
}
1782
1783
@Article{ edixhoven:minimal,
1784
author = {Edixhoven, B.},
1785
title = {Minimal resolution and stable reduction of
1786
\protect{${X}\sb 0({N})$}},
1787
journal = {Ann. Inst. Fourier (Grenoble)},
1788
fjournal = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
1789
volume = {40},
1790
year = {1990},
1791
number = {1},
1792
pages = {31--67},
1793
issn = {0373-0956},
1794
coden = {AIFUA7},
1795
mrclass = {11G18 (14G35)},
1796
mrnumber = {92f:11080},
1797
mrreviewer = {Autorreferat}
1798
}
1799
1800
@InProceedings{ edixhoven:serre,
1801
author = {Edixhoven, B.},
1802
title = {Serre's conjecture},
1803
booktitle = {Modular forms and \protect{F}ermat's last theorem (Boston,
1804
MA, 1995)},
1805
pages = {209--242},
1806
publisher = {Springer},
1807
address = {New York},
1808
year = {1997}
1809
}
1810
1811
@Article{ edixhoven:serrerole,
1812
author = {Edixhoven, B.},
1813
title = {Le r\^{o}le de la conjecture de {S}erre dans la
1814
d\'emonstration du th\'eor\`eme de {F}ermat},
1815
journal = {Gaz. Math.},
1816
fjournal = {Gazette des Math\'ematiciens},
1817
number = {66},
1818
year = {1995},
1819
pages = {25--41},
1820
issn = {0224-8999},
1821
mrclass = {11F33 (11D41 11F80 11G05)},
1822
mrnumber = {96k:11055a},
1823
mrrevr = {Fernando Q. Gouv\^ea}
1824
}
1825
1826
@Article{ edixhoven:tame,
1827
author = {Edixhoven, B.},
1828
title = {N\'eron models and tame ramification},
1829
journal = {Compositio Math.},
1830
fjournal = {Compositio Mathematica},
1831
volume = {81},
1832
year = {1992},
1833
number = {3},
1834
pages = {291--306},
1835
issn = {0010-437X},
1836
coden = {CMPMAF},
1837
mrclass = {14K15 (11G10)},
1838
mrnumber = {93a:14041},
1839
mrreviewer = {Min Ho Lee}
1840
}
1841
1842
@Article{ edixhoven:weight,
1843
author = {Edixhoven, B.},
1844
title = {The weight in \protect{S}erre's conjectures on modular
1845
forms},
1846
journal = {Invent. Math.},
1847
fjournal = {Inventiones Mathematicae},
1848
volume = {109},
1849
year = {1992},
1850
number = {3},
1851
pages = {563--594},
1852
issn = {0020-9910},
1853
coden = {INVMBH}
1854
}
1855
1856
@Article{ ega4_1,
1857
author = {Grothendieck, A.},
1858
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1859
\'{E}tude locale des sch\'emas et des morphismes de
1860
sch\'emas. {I}},
1861
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1862
number = {20},
1863
year = {1964},
1864
pages = {259},
1865
mrclass = {14.05 (13.10)},
1866
mrnumber = {30 \#3885},
1867
mrreviewer = {H. Hironaka}
1868
}
1869
1870
@Article{ ega4_2,
1871
author = {Grothendieck, A.},
1872
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1873
\'{E}tude locale des sch\'emas et des morphismes de
1874
sch\'emas. {I}{I}},
1875
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1876
number = {24},
1877
year = {1965},
1878
pages = {231},
1879
mrclass = {14.00},
1880
mrnumber = {33 \#7330},
1881
mrreviewer = {H. Hironaka}
1882
}
1883
1884
@Article{ ega4_3,
1885
author = {Grothendieck, A.},
1886
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1887
\'{E}tude locale des sch\'emas et des morphismes de
1888
sch\'emas. {I}{I}{I}},
1889
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1890
number = {28},
1891
year = {1966},
1892
pages = {255},
1893
mrclass = {14.55},
1894
mrnumber = {36 \#178},
1895
mrreviewer = {J. P. Murre}
1896
}
1897
1898
@Article{ ega4_4,
1899
author = {Grothendieck, A.},
1900
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1901
\'{E}tude locale des sch\'emas et des morphismes de
1902
sch\'emas {I}{V}},
1903
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1904
number = {32},
1905
year = {1967},
1906
pages = {361},
1907
mrclass = {14.55},
1908
mrnumber = {39 \#220},
1909
mrreviewer = {J. P. Murre}
1910
}
1911
1912
@Article{ eichler:ideal,
1913
author = {Eichler, M.},
1914
title = {Uber die Idealklassenzahl total definiter
1915
Quaternionenalgebren},
1916
journal = {Math. Zeit.},
1917
volume = {43},
1918
year = {1937},
1919
pages = {102--109}
1920
}
1921
1922
@Article{ eichler:quadratic,
1923
author = {Eichler, M.},
1924
title = {Quadratische \protect{F}ormen und
1925
\protect{M}odulfunktionen},
1926
journal = {Acta Arith.},
1927
volume = {4},
1928
year = {1958},
1929
pages = {217--239}
1930
}
1931
1932
@InCollection{ eigencurve,
1933
author = {Coleman, R. and Mazur, B.},
1934
title = {The {E}igencurve},
1935
booktitle = {Galois representations in arithmetic algebraic geometry
1936
(Durham, 1996)},
1937
pages = {1--113},
1938
publisher = {Cambridge Univ. Press},
1939
address = {Cambridge},
1940
year = {1998},
1941
mrclass = {11Fxx (11Gxx)},
1942
mrnumber = {1 696 469}
1943
}
1944
1945
@Book{ eisenbud,
1946
author = {Eisenbud, D.},
1947
title = {Commutative Algebra with a View Toward Algebraic
1948
Geometry},
1949
publisher = {Springer-Verlag},
1950
address = {New York},
1951
year = {1995},
1952
pages = {xvi+785},
1953
isbn = {0-387-94268-8; 0-387-94269-6},
1954
mrclass = {13-01 (14A05)},
1955
mrnumber = {97a:13001},
1956
mrrevr = {Matthew Miller}
1957
}
1958
1959
@Book{ eisenbud-harris,
1960
author = {Eisenbud, D. and Harris, J.},
1961
title = {{S}chemes, {T}he language of modern algebraic geometry},
1962
publisher = {Wadsworth \& Brooks/Cole Advanced Books \& Software},
1963
address = {Pacific Grove, CA},
1964
year = {1992},
1965
pages = {xii+157},
1966
isbn = {0-534-17606-2; 0-534-17604-6},
1967
mrclass = {14-01 (14A15)},
1968
mrnumber = {93k:14001},
1969
mrrevr = {Alexey N. Rudakov}
1970
}
1971
1972
@Book{ eisenbud-harris-2,
1973
author = {Eisenbud, D. and Harris, J.},
1974
title = {{S}chemes, {T}he language of modern algebraic geometry},
1975
note = {Graduate Texts in Mathematics, Vol.\ 197},
1976
publisher = {Springer-Verlag},
1977
address = {Berlin},
1978
year = {},
1979
pages = {}
1980
}
1981
1982
@Book{ eisenbud_harris:geometry,
1983
author = {Eisenbud, D. and Harris, J.},
1984
title = {The geometry of schemes},
1985
publisher = {Springer-Verlag},
1986
address = {New York},
1987
year = {2000},
1988
pages = {x+294},
1989
isbn = {0-387-98638-3; 0-387-98637-5},
1990
mrclass = {14A15 (14-01 14C05 14H50 14N05)},
1991
mrnumber = {2001d:14002},
1992
mrreviewer = {Allen B. Altman}
1993
}
1994
1995
@InCollection{ elkies:ffield,
1996
author = {Elkies, N.\thinspace{}D.},
1997
title = {Elliptic and modular curves over finite fields and related
1998
computational issues},
1999
booktitle = {Computational perspectives on number theory (Chicago, IL,
2000
1995)},
2001
pages = {21--76},
2002
publisher = {Amer. Math. Soc.},
2003
address = {Providence, RI},
2004
year = {1998}
2005
}
2006
2007
@InCollection{ elkies:heegner,
2008
author = {Elkies, N.\thinspace{}D.},
2009
title = {Heegner point computations},
2010
booktitle = {Algorithmic number theory (Ithaca, NY, 1994)},
2011
pages = {122--133},
2012
publisher = {Springer},
2013
address = {Berlin},
2014
year = {1994}
2015
}
2016
2017
@Article{ ellenberg-skinner:modularity,
2018
author = {Ellenberg, J. and Skinner, C.},
2019
title = {On the {M}odularity of {$\Q$}-curves},
2020
journal = {{\tt
2021
http://www.math.princeton.edu/~ellenber/papers.html\#QCURVE}}
2022
,
2023
year = {2000}
2024
}
2025
2026
@Article{ ellenberg:qcurves_survey,
2027
author = {Ellenberg, J.},
2028
title = {$\Q$-curves and {G}alois {R}epresentations},
2029
journal = {{\tt
2030
http://www.math.princeton.edu/~ellenber/papers.html\#MCAV}},
2031
year = {2002}
2032
}
2033
2034
@Article{ emerton:optimal,
2035
author = {Emerton, M.},
2036
title = {Optimal {Q}uotients of {M}odular {J}acobians},
2037
journal = {preprint},
2038
year = {2001}
2039
}
2040
2041
@Article{ empirical,
2042
author = {Flynn, E.\thinspace{}V. and \protect{Lepr\'{e}vost}, F.
2043
and Schaefer, E.\thinspace{}F. and Stein, W.\thinspace{}A.
2044
and Stoll, M. and Wetherell, J.\thinspace{}L.},
2045
title = {Empirical evidence for the {B}irch and {S}winnerton-{D}yer
2046
conjectures for modular {J}acobians of genus 2 curves},
2047
journal = {Math. Comp.},
2048
fjournal = {Mathematics of Computation},
2049
volume = {70},
2050
year = {2001},
2051
number = {236},
2052
pages = {1675--1697 (electronic)},
2053
issn = {0025-5718},
2054
coden = {MCMPAF},
2055
mrclass = {},
2056
mrnumber = {1 836 926}
2057
}
2058
2059
@Article{ faltings-finiteness,
2060
author = {Faltings, G.},
2061
title = {\protect{Endlichkeitss\"atze f\"ur} abelsche
2062
\protect{V}ariet\"aten \"uber \protect{Z}ahlk\"orpern},
2063
journal = {Invent. Math.},
2064
fjournal = {Inventiones Mathematicae},
2065
volume = {73},
2066
year = {1983},
2067
number = {3},
2068
pages = {349--366},
2069
issn = {0020-9910},
2070
coden = {INVMBH}
2071
}
2072
2073
@Article{ faltings-jordan,
2074
author = {Faltings, G. and Jordan, B.\thinspace{}W.},
2075
title = {Crystalline cohomology and \protect{${\rm {G}{L}}(2,{\bf
2076
{Q}})$}},
2077
journal = {Israel J. Math.},
2078
fjournal = {Israel Journal of Mathematics},
2079
volume = {90},
2080
year = {1995},
2081
number = {1-3},
2082
pages = {1--66},
2083
issn = {0021-2172},
2084
coden = {ISJMAP}
2085
}
2086
2087
@InCollection{ faltings:finiteness,
2088
author = {Faltings, G.},
2089
title = {Finiteness theorems for abelian varieties over number
2090
fields},
2091
booktitle = {Arithmetic geometry (Storrs, Conn., 1984)},
2092
pages = {9--27},
2093
note = {Translated from the German original [Invent.\ Math.\ {\bf
2094
73} (1983), no.\ 3, 349--366; ibid.\ {\bf 75} (1984), no.\
2095
2, 381; MR 85g:11026ab] by Edward Shipz},
2096
publisher = {Springer},
2097
address = {New York},
2098
year = {1986},
2099
mrclass = {11G10 (14K15)},
2100
mrnumber = {861 971}
2101
}
2102
2103
@Article{ farmer-james:maeda,
2104
author = {Farmer, D. W. and James, K.},
2105
title = {The irreducibility of some level 1 {H}ecke polynomials},
2106
journal = {Math. Comp.},
2107
fjournal = {Mathematics of Computation},
2108
volume = {71},
2109
year = {2002},
2110
number = {239},
2111
pages = {1263--1270 (electronic)},
2112
issn = {0025-5718},
2113
coden = {MCMPAF},
2114
mrclass = {11F25 (11F11)},
2115
mrnumber = {2003e:11046},
2116
mrreviewer = {T. C. Vasudevan}
2117
}
2118
2119
@Article{ fearnley:phd,
2120
author = {Fearnley, J.},
2121
title = {{V}anishing and {N}on-{V}anishing of {L}-Series of
2122
{E}lliptic {C}urves {T}wisted by {D}irichlet {C}haracters},
2123
year = 2001,
2124
journal = {Concordia Ph.D. thesis}
2125
}
2126
2127
@Article{ flach:pairing,
2128
author = {Flach, M.},
2129
title = {A generalisation of the {C}assels-{T}ate pairing},
2130
journal = {J. Reine Angew. Math.},
2131
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
2132
volume = {412},
2133
year = {1990},
2134
pages = {113--127},
2135
issn = {0075-4102},
2136
coden = {JRMAA8},
2137
mrclass = {11G09 (11R23 11S25)},
2138
mrnumber = {92b:11037},
2139
mrreviewer = {Vincent Fleckinger}
2140
}
2141
2142
@Article{ fontaine:groupes,
2143
author = {Fontaine, J-M.},
2144
title = {Groupes finis commutatifs sur les vecteurs de {W}itt},
2145
journal = {C. R. Acad. Sci. Paris S\'er. A-B},
2146
volume = {280},
2147
year = {1975},
2148
pages = {Ai, A1423--A1425},
2149
mrclass = {14L05},
2150
mrnumber = {51 \#10353},
2151
mrreviewer = {Robert A. Morris}
2152
}
2153
2154
@InCollection{ frey-muller,
2155
author = {Frey, G. and M{\"u}ller, M.},
2156
title = {Arithmetic of modular curves and applications},
2157
booktitle = {Algorithmic algebra and number theory (Heidelberg, 1997)},
2158
pages = {11--48},
2159
publisher = {Springer},
2160
address = {Berlin},
2161
year = {1999}
2162
}
2163
2164
@InProceedings{ frey:boston,
2165
author = {Frey, G.},
2166
title = {On ternary equations of \protect{F}ermat type and
2167
relations with elliptic curves},
2168
booktitle = {Modular forms and \protect{F}ermat's last theorem (Boston,
2169
MA, 1995)},
2170
pages = {527--548},
2171
publisher = {Springer},
2172
address = {New York},
2173
year = {1997},
2174
crossref = "boston"
2175
}
2176
2177
@Book{ freyetal,
2178
title = {On {A}rtin's conjecture for odd 2-dimensional
2179
representations},
2180
booktitle = {On {A}rtin's conjecture for odd 2-dimensional
2181
representations},
2182
editor = {Frey, G.},
2183
publisher = {Springer-Verlag},
2184
address = {Berlin},
2185
year = {1994},
2186
pages = {viii+148},
2187
isbn = {3-540-58387-4}
2188
}
2189
2190
@Article{ freyone,
2191
author = {Frey, G.},
2192
title = {Links between stable elliptic curves and certain
2193
{D}iophantine \protect{\nobreak{equations}}},
2194
journal = {Ann. Univ. Sarav. Ser. Math.},
2195
fjournal = {Annales Universitatis Saraviensis. Series Mathematicae},
2196
volume = {1},
2197
year = {1986},
2198
number = {1},
2199
pages = {iv+40}
2200
}
2201
2202
@InCollection{ freytwo,
2203
author = {Frey, G.},
2204
title = {Links between solutions of \protect{${A}-{B}={C}$} and
2205
elliptic curves},
2206
booktitle = {Number theory (Ulm, 1987)},
2207
pages = {31--62},
2208
publisher = {Springer},
2209
address = {New York},
2210
year = {1989}
2211
}
2212
2213
@InCollection{ frohlich:local,
2214
author = {Fr{\"o}hlich, A.},
2215
title = {Local fields},
2216
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
2217
Brighton, 1965) },
2218
pages = {1--41},
2219
publisher = {Thompson, Washington, D.C.},
2220
year = {1967}
2221
}
2222
2223
@Article{ fujiwara,
2224
author = {Fujiwara, K.},
2225
title = {Level optimization in the totally real case},
2226
journal = {in preparation},
2227
year = {1999}
2228
}
2229
2230
@Article{ galbraith,
2231
author = {Galbraith, S.\thinspace{}D.},
2232
title = {Equations for modular curves},
2233
year = {1996},
2234
journal = {Oxford Ph.D. thesis},
2235
pages = {91 pp.}
2236
}
2237
2238
@Article{ ganz-lario:manin,
2239
author = {Gonz\'{a}lez, J. and Lario, J-C.},
2240
title = {$\mathbf{Q}$-curves and their {M}anin ideals},
2241
journal = {preprint},
2242
year = {2000}
2243
}
2244
2245
@Article{ generatinghecke,
2246
author = "Agashe, A. and Stein, W.\thinspace{}A.",
2247
title = {Generating the \protect{H}ecke algebra},
2248
journal = {preprint},
2249
year = {1999}
2250
}
2251
2252
@Article{ goldfeld:complexity,
2253
author = {Goldfeld, D.},
2254
title = {On the computational complexity of modular symbols},
2255
journal = {Math. Comp.},
2256
fjournal = {Mathematics of Computation},
2257
volume = {58},
2258
year = {1992},
2259
number = {198},
2260
pages = {807--814},
2261
issn = {0025-5718},
2262
coden = {MCMPAF},
2263
mrclass = {11F67 (11Y35)},
2264
mrnumber = {93a:11042},
2265
mrrevr = {Glenn Stevens}
2266
}
2267
2268
@Article{ goldfeld:l1,
2269
author = {Goldfeld, D.},
2270
title = {Sur les produits partiels eul\'eriens attach\'es aux
2271
courbes elliptiques},
2272
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
2273
fjournal = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences.
2274
S\'erie I. Math\'ematique},
2275
volume = {294},
2276
year = {1982},
2277
number = {14},
2278
pages = {471--474},
2279
issn = {0249-6321},
2280
coden = {CHASAP},
2281
mrclass = {14K15 (12A70 14G10 14K07)},
2282
mrnumber = {84d:14031},
2283
mrreviewer = {Andrew Bremner}
2284
}
2285
2286
@Article{ gonzalez-lario:manin,
2287
author = {Gonz{\'a}lez, J. and Lario, J.-C.},
2288
title = {{$\mathbf{Q}$}-curves and their {M}anin ideals},
2289
journal = {Amer. J. Math.},
2290
fjournal = {American Journal of Mathematics},
2291
volume = {123},
2292
year = {2001},
2293
number = {3},
2294
pages = {475--503},
2295
issn = {0002-9327},
2296
coden = {AJMAAN},
2297
mrclass = {11G05 (11G18)},
2298
mrnumber = {2002e:11070},
2299
mrreviewer = {Ivica Gusi{\'c}}
2300
}
2301
2302
@Article{ gordon-ono:vis,
2303
title = {Modular form {C}ongruences and {S}elmer groups},
2304
author = {McGraw, W.\thinspace{}J. and Ono, K.},
2305
journal = {preprint},
2306
year = {2002}
2307
}
2308
2309
@InCollection{ gouvea-mazur:density,
2310
author = {Gouv\^{e}a, F.\thinspace{}Q. and Mazur, B.},
2311
title = {On the density of modular representations},
2312
booktitle = {Computational perspectives on number theory (Chicago, IL,
2313
1995)},
2314
pages = {127--142},
2315
publisher = {Amer. Math. Soc.},
2316
address = {Providence, RI},
2317
year = {1998},
2318
mrclass = {11F33 (11F80)},
2319
mrnumber = {99a:11056},
2320
mrreviewer = {Andrea Mori}
2321
}
2322
2323
@Article{ gouvea-mazur:families,
2324
author = {Gouv\^ea, F. and Mazur, B.},
2325
title = {Families of modular eigenforms},
2326
journal = {Math. Comp.},
2327
fjournal = {Mathematics of Computation},
2328
volume = {58},
2329
year = {1992},
2330
number = {198},
2331
pages = {793--805},
2332
issn = {0025-5718},
2333
coden = {MCMPAF},
2334
mrclass = {11F33 (11Y35 14G20)},
2335
mrnumber = {93d:11049},
2336
mrrevr = {Bas Edixhoven}
2337
}
2338
2339
@Article{ gouvea:ordinary,
2340
author = {Gouv\^ea, F.\thinspace{}Q.},
2341
title = {On the ordinary {H}ecke algebra},
2342
journal = {J. Number Theory},
2343
fjournal = {Journal of Number Theory},
2344
volume = {41},
2345
year = {1992},
2346
number = {2},
2347
pages = {178--198},
2348
issn = {0022-314X},
2349
coden = {JNUTA9}
2350
}
2351
2352
@Book{ gouvea:slnm,
2353
author = {Gouv\^{e}a, F.\thinspace{}Q.},
2354
title = {Arithmetic of $p$-adic modular forms},
2355
publisher = {Springer-Verlag},
2356
address = {Berlin},
2357
year = {1988},
2358
pages = {viii+121},
2359
isbn = {3-540-18946-7},
2360
mrclass = {11F85 (11F80)},
2361
mrnumber = {91e:11056},
2362
mrreviewer = {Alexey A. Panchishkin}
2363
}
2364
2365
@Book{ greenberg-harper,
2366
author = {Greenberg, M.\thinspace{}J. and Harper, J.\thinspace{}R.},
2367
title = {Algebraic topology},
2368
note = {A first course},
2369
publisher = {Benjamin/Cummings Publishing Co. Inc. Advanced Book
2370
Program},
2371
address = {Reading, Mass.},
2372
year = {1981},
2373
pages = {xi+311 pp. (loose errata)},
2374
isbn = {0-8053-3558-7; 0-8053-3557-9},
2375
mrclass = {55-01},
2376
mrnumber = {83b:55001},
2377
mrrevr = {J. P. May}
2378
}
2379
2380
@Article{ gross-kohnen-zagier,
2381
author = {Gross, B. and Kohnen, W. and Zagier, D.},
2382
title = {Heegner points and derivatives of ${L}$-series. {I}{I}},
2383
journal = {Math. Ann.},
2384
fjournal = {Mathematische Annalen},
2385
volume = {278},
2386
year = {1987},
2387
number = {1-4},
2388
pages = {497--562},
2389
issn = {0025-5831},
2390
coden = {MAANA3},
2391
mrclass = {11G40 (11F30 11G05 11R29 14G10)},
2392
mrnumber = {89i:11069},
2393
mrrevr = {Lawrence Washington}
2394
}
2395
2396
@Article{ gross-zagier,
2397
author = {Gross, B. and Zagier, D.},
2398
title = {Heegner points and derivatives of \protect{${L}$}-series},
2399
journal = {Invent. Math.},
2400
fjournal = {Inventiones Mathematicae},
2401
volume = {84},
2402
year = {1986},
2403
number = {2},
2404
pages = {225--320},
2405
issn = {0020-9910},
2406
coden = {INVMBH},
2407
mrclass = {11G40 (11F11 11G05 14G10)},
2408
mrnumber = {87j:11057},
2409
mrrevr = {Loren D. Olson}
2410
}
2411
2412
@InCollection{ gross:central,
2413
author = {Gross, B.\thinspace{}H.},
2414
title = {${L}$-functions at the central critical point},
2415
booktitle = {Motives (Seattle, WA, 1991)},
2416
pages = {527--535},
2417
publisher = {Amer. Math. Soc.},
2418
address = {Providence, RI},
2419
year = {1994},
2420
mrclass = {11G40 (14G10)},
2421
mrnumber = {95a:11060},
2422
mrrevr = {Jan Nekov{\'a}{\v{r}}}
2423
}
2424
2425
@InCollection{ gross:kolyvagin,
2426
author = {Gross, B.\thinspace{}H.},
2427
title = {Kolyvagin's work on modular elliptic curves},
2428
booktitle = {$L$-functions and arithmetic (Durham, 1989)},
2429
pages = {235--256},
2430
publisher = {Cambridge Univ. Press},
2431
address = {Cambridge},
2432
year = {1991}
2433
}
2434
2435
@Article{ gross:tameness,
2436
author = {Gross, B.\thinspace{}H.},
2437
title = {A tameness criterion for \protect{G}alois representations
2438
associated to modular forms (mod \protect{$p$})},
2439
journal = {Duke Math. J.},
2440
fjournal = {Duke Mathematical Journal},
2441
volume = {61},
2442
year = {1990},
2443
number = {2},
2444
pages = {445--517},
2445
issn = {0012-7094},
2446
coden = {DUMJAO}
2447
}
2448
2449
@Article{ gross_kudla,
2450
author = {Gross, B.\thinspace{}H. and Kudla, S.\thinspace{}S.},
2451
title = {Heights and the central critical values of triple product
2452
{$L$}-functions},
2453
journal = {Compositio Math.},
2454
fjournal = {Compositio Mathematica},
2455
volume = {81},
2456
year = {1992},
2457
number = {2},
2458
pages = {143--209},
2459
issn = {0010-437X},
2460
coden = {CMPMAF},
2461
mrclass = {11F66 (11F67 11G40 19F27)},
2462
mrnumber = {93g:11047},
2463
mrreviewer = {Alexey A. Panchishkin}
2464
}
2465
2466
@InCollection{ grothendieck:brauer1,
2467
author = {Grothendieck, Alexander},
2468
title = {Le groupe de {B}rauer. {I}. {A}lg\`ebres d'{A}zumaya et
2469
interpr\'etations diverses},
2470
booktitle = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
2471
pages = {46--66},
2472
publisher = {North-Holland},
2473
address = {Amsterdam},
2474
year = {1968},
2475
mrclass = {14.55},
2476
mrnumber = {39 #5586a}
2477
}
2478
2479
@InCollection{ grothendieck:brauer2,
2480
author = {Grothendieck, Alexander},
2481
title = {Le groupe de {B}rauer. {I}{I}. {T}h\'eorie cohomologique},
2482
booktitle = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
2483
pages = {67--87},
2484
publisher = {North-Holland},
2485
address = {Amsterdam},
2486
year = {1968},
2487
mrclass = {14.55},
2488
mrnumber = {39 #5586b}
2489
}
2490
2491
@InCollection{ grothendieck:brauer3,
2492
author = {Grothendieck, Alexander},
2493
title = {Le groupe de {B}rauer. {I}{I}{I}. {E}xemples et
2494
compl\'ements},
2495
booktitle = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
2496
pages = {88--188},
2497
publisher = {North-Holland},
2498
address = {Amsterdam},
2499
year = {1968},
2500
mrclass = {14.55},
2501
mrnumber = {39 #5586c},
2502
mrrevr = {J. S. Milne}
2503
}
2504
2505
@Book{ grothendieck:monodromie,
2506
author = {Grothendieck, A.},
2507
title = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique.
2508
\protect{I}},
2509
note = {S\'eminaire de G\'eom\'etrie Alg\'ebrique du Bois-Marie
2510
1967--1969 (SGA 7 I), Dirig\'e par A. Grothendieck. Avec la
2511
collaboration de M. Raynaud et D. S. Rim, Lecture Notes in
2512
Mathematics, Vol. 288},
2513
publisher = {Springer-Verlag},
2514
address = {Berlin},
2515
year = {1972},
2516
pages = {viii+523}
2517
}
2518
2519
@InCollection{ gruenberg,
2520
author = {Gruenberg, K.},
2521
title = {Profinite groups},
2522
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
2523
Brighton, 1965)},
2524
pages = {116--127},
2525
publisher = {Thompson, Washington, D.C.},
2526
year = {1967}
2527
}
2528
2529
@Article{ guerzhoy:kummer,
2530
title = {Searching for {K}ummer congruences in an infinite slope
2531
family},
2532
author = {Guerzhoy, P.},
2533
year = {2000},
2534
journal = {Preprint}
2535
}
2536
2537
@Book{ guy:unsolved,
2538
author = {Guy, R.\thinspace{}K.},
2539
title = {Unsolved problems in number theory},
2540
edition = {Second},
2541
note = {Unsolved Problems in Intuitive Mathematics, I},
2542
publisher = {Springer-Verlag},
2543
address = {New York},
2544
year = {1994},
2545
pages = {xvi+285},
2546
isbn = {0-387-94289-0},
2547
mrclass = {11-01 (00A07 11-02)},
2548
mrnumber = {96e:11002},
2549
mrreviewer = {B. M. M. de Weger}
2550
}
2551
2552
@Book{ haberland,
2553
author = {Haberland, Klaus},
2554
title = {Galois cohomology of algebraic number fields},
2555
note = {With two appendices by Helmut Koch and Thomas Zink},
2556
publisher = {VEB Deutscher Verlag der Wissenschaften},
2557
address = {Berlin},
2558
year = {1978},
2559
pages = {145},
2560
mrclass = {12A60},
2561
mrnumber = {81i:12009},
2562
mrrevr = {Chih-Han Sah}
2563
}
2564
2565
@Book{ halmos:naive,
2566
author = {Halmos, Paul R.},
2567
title = {Naive set theory},
2568
series = {The University Series in Undergraduate Mathematics},
2569
publisher = {D. Van Nostrand Co., Princeton, N.J.-Toronto-London-New
2570
York},
2571
year = {1960},
2572
pages = {vii+104},
2573
mrclass = {04.00},
2574
mrnumber = {22 \#5575},
2575
mrreviewer = {L. Rieger}
2576
}
2577
2578
@Article{ hardy_littlewood:conjf,
2579
author = {Hardy, G.\thinspace{}H. and Littlewood, J.\thinspace{}E.},
2580
title = {Some {P}roblems of `{P}artitio {N}umerorum.' {I}{I}{I}.
2581
{O}n the {E}xpression of a {N}umber as a {S}um of
2582
{P}rimes.},
2583
journal = {Acta. Math.},
2584
volume = {44},
2585
year = {1922},
2586
pages = {1--70}
2587
}
2588
2589
@Book{ hartshorne,
2590
author = {Hartshorne, R.},
2591
title = {Algebraic {G}eometry},
2592
note = {Graduate Texts in Mathematics, No. 52},
2593
publisher = {Springer-Verlag},
2594
address = {New York},
2595
year = {1977},
2596
pages = {xvi+496},
2597
isbn = {0-387-90244-9}
2598
}
2599
2600
@Article{ hatada:eigenvalues79,
2601
author = {Hatada, K.},
2602
title = {Eigenvalues of {H}ecke operators on \protect{${\rm
2603
{S}{L}}(2,\,{\bf {Z}})$}},
2604
journal = {Math. Ann.},
2605
fjournal = {Mathematische Annalen},
2606
volume = {239},
2607
year = {1979},
2608
number = {1},
2609
pages = {75--96},
2610
issn = {0025-5831},
2611
coden = {MAANA3},
2612
mrclass = {10D15},
2613
mrnumber = {80b:10037},
2614
mrreviewer = {Roy Fuller}
2615
}
2616
2617
@Article{ hatada:general,
2618
author = {Hatada, K.},
2619
title = {On classical and {$l$}-adic modular forms of levels
2620
{$Nl\sp m$} and {$N$}},
2621
journal = {J. Number Theory},
2622
fjournal = {Journal of Number Theory},
2623
volume = {87},
2624
year = {2001},
2625
number = {1},
2626
pages = {1--14},
2627
issn = {0022-314X},
2628
coden = {JNUTA9},
2629
mrclass = {11F11 (11F80 11F85)},
2630
mrnumber = {2002e:11054},
2631
mrreviewer = {Luis V. Dieulefait}
2632
}
2633
2634
@Article{ hatada:rationality,
2635
author = {Hatada, K.},
2636
title = {Multiplicity one theorem and modular symbols},
2637
journal = {J. Math. Soc. Japan},
2638
fjournal = {Journal of the Mathematical Society of Japan},
2639
volume = {33},
2640
year = {1981},
2641
number = {3},
2642
pages = {445--470},
2643
issn = {0025-5645},
2644
coden = {NISUBC},
2645
mrclass = {10D12 (12A65)},
2646
mrnumber = {83d:10030},
2647
mrrevr = {Wen Ch'ing Winnie Li}
2648
}
2649
2650
@Book{ hellegouarch:invitation,
2651
author = {Hellegouarch, Y.},
2652
title = {Invitation aux math\'ematiques de {F}ermat-{W}iles},
2653
publisher = {Masson},
2654
address = {Paris},
2655
year = {1997},
2656
pages = {viii+401},
2657
isbn = {2-225-83008-8},
2658
mrclass = {11-01 (11D41 11F11 11G05 11G18)},
2659
mrnumber = {99e:11001},
2660
mrrevr = {Massimo Bertolini}
2661
}
2662
2663
@Article{ hida:invent86,
2664
author = {Hida, H.},
2665
title = {Galois representations into \protect{${\rm {G}{L}}\sb
2666
2({\bf {Z}}\sb p[[{X}]])$} attached to ordinary cusp forms},
2667
journal = {Invent. Math.},
2668
fjournal = {Inventiones Mathematicae},
2669
volume = {85},
2670
year = {1986},
2671
number = {3},
2672
pages = {545--613},
2673
issn = {0020-9910},
2674
coden = {INVMBH},
2675
mrclass = {11F11 (11F33 11F85 11R23)},
2676
mrnumber = {87k:11049},
2677
mrrevr = {Ernst-Wilhelm Zink}
2678
}
2679
2680
@Article{ hida:iwasawa,
2681
author = {Hida, H.},
2682
title = {Iwasawa modules attached to congruences of cusp forms},
2683
journal = {Ann. Sci. \'Ecole Norm. Sup. (4)},
2684
fjournal = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
2685
Quatri\`eme S\'erie},
2686
volume = {19},
2687
year = {1986},
2688
number = {2},
2689
pages = {231--273},
2690
issn = {0012-9593},
2691
coden = {ASENAH},
2692
mrclass = {11F33 (11G18 11R23)},
2693
mrnumber = {88i:11023},
2694
mrrevr = {Yasutaka Ihara}
2695
}
2696
2697
@Article{ hida:modularity,
2698
author = {Hida, H.},
2699
title = {Modularity {P}roblems of {$\Q$}-{M}otives and
2700
{B}ase-{C}hange},
2701
journal = {Preprint, {\tt http://www.math.ucla.edu/~hida/}},
2702
year = {2000}
2703
}
2704
2705
@Article{ hijikata:trace,
2706
author = {Hijikata, H.},
2707
title = {Explicit formula of the traces of \protect{H}ecke
2708
operators for \protect{$\Gamma_0(N)$}},
2709
journal = {J. Math. Soc. Japan},
2710
number = {1},
2711
volume = {26},
2712
year = {1974},
2713
pages = {56--82}
2714
}
2715
2716
@Book{ hindry-silverman:diophantine,
2717
author = {Hindry, Marc and Silverman, Joseph H.},
2718
title = {Diophantine geometry},
2719
note = {An introduction},
2720
publisher = {Springer-Verlag},
2721
address = {New York},
2722
year = {2000},
2723
pages = {xiv+558},
2724
isbn = {0-387-98975-7; 0-387-98981-1},
2725
mrclass = {11Gxx (11-02 11G10 11G30 11G50 14G25)},
2726
mrnumber = {2001e:11058},
2727
mrreviewer = {Dino J. Lorenzini}
2728
}
2729
2730
@InProceedings{ hpf,
2731
author = {Swinnerton-Dyer, H.\thinspace{}P.\thinspace{}F.},
2732
title = {On $\ell$-adic representations and congruences for
2733
coefficients of modular forms},
2734
booktitle = {Proceedings of the International Summer School, University
2735
of Antwerp, RUCA, July 17--August 3, 1972},
2736
pages = {1--55. Lecture Notes in Math., Vol. 350},
2737
publisher = {Springer},
2738
address = {Berlin},
2739
year = {1973}
2740
}
2741
2742
@Article{ igusa:fibre,
2743
author = {Igusa, J.},
2744
title = {Fibre systems of \protect{J}acobian varieties},
2745
journal = {Amer. J. Math.},
2746
volume = {78},
2747
year = {1956},
2748
pages = {171--199}
2749
}
2750
2751
@Book{ jacquet-langlands,
2752
author = {Jacquet, H. and Langlands, R.\thinspace{}P.},
2753
title = {Automorphic forms on \protect{${\rm {G}{L}}(2)$}},
2754
note = {Lecture Notes in Mathematics, Vol. 114},
2755
publisher = {Springer-Verlag},
2756
address = {Berlin},
2757
year = {1970},
2758
pages = {vii+548}
2759
}
2760
2761
@Article{ jarvis:hilbert,
2762
author = {Jarvis, F.},
2763
title = {On \protect{G}alois representations associated to
2764
\protect{H}ilbert modular forms},
2765
journal = {J. Reine Angew. Math.},
2766
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
2767
volume = {491},
2768
year = {1997},
2769
pages = {199--216},
2770
issn = {0075-4102},
2771
coden = {JRMAA8}
2772
}
2773
2774
@Article{ jarvis:level,
2775
author = {Jarvis, F.},
2776
title = {Level lowering for modular mod \protect{$\ell$}
2777
representations over totally real fields\-},
2778
journal = {Math. Ann.},
2779
fjournal = {Mathematische Annalen},
2780
volume = {313},
2781
year = {1999},
2782
number = {1},
2783
pages = {141--160},
2784
issn = {0025-5831},
2785
coden = {MAANA}
2786
}
2787
2788
@Article{ jarvis:mazur,
2789
author = {Jarvis, F.},
2790
title = {Mazur's principle for totally real fields of odd degree},
2791
journal = {Compositio Math.},
2792
fjournal = {Compositio Mathematica},
2793
volume = {116},
2794
year = {1999},
2795
number = {1},
2796
pages = {39--79},
2797
issn = {0010-437X},
2798
coden = {CMPMAF}
2799
}
2800
2801
@InCollection{ jochnowitz:conjecture,
2802
author = {Jochnowitz, N.},
2803
title = {A $p$-adic conjecture about derivatives of ${L}$-series
2804
attached to modular forms},
2805
booktitle = {$p$-adic monodromy and the {B}irch and {S}winnerton-{D}yer
2806
conjecture},
2807
pages = {239--263},
2808
publisher = {Amer. Math. Soc.},
2809
address = {Providence, RI},
2810
year = {1994},
2811
mrclass = {11F33 (11F67 11F85 11G40)},
2812
mrnumber = {95g:11037},
2813
mrrevr = {Andrea Mori}
2814
}
2815
2816
@Article{ jochnowitz:duke,
2817
author = {Jochnowitz, N.},
2818
title = {The index of the {H}ecke ring, ${T}\sb{k}$, in the ring of
2819
integers of \protect{${T}\sb{k}\otimes {\bf {Q}}$}},
2820
journal = {Duke Math. J.},
2821
fjournal = {Duke Mathematical Journal},
2822
volume = {46},
2823
year = {1979},
2824
number = {4},
2825
pages = {861--869},
2826
issn = {0012-7094},
2827
coden = {DUMJAO},
2828
mrclass = {10D12},
2829
mrnumber = {80k:10023},
2830
mrrevr = {Henri Cohen}
2831
}
2832
2833
@Article{ jochnowitz:local,
2834
author = {Jochnowitz, N.},
2835
title = {A study of the local components of the \protect{H}ecke
2836
algebra mod \protect{$\ell$}},
2837
journal = {Trans. Amer. Math. Soc.},
2838
fjournal = {Transactions of the American Mathematical Society},
2839
volume = {270},
2840
year = {1982},
2841
number = {1},
2842
pages = {253--267},
2843
issn = {0002-9947},
2844
coden = {TAMTAM}
2845
}
2846
2847
@Article{ jones:thesis,
2848
author = {Jones, D.\thinspace{}M.},
2849
title = {On modular {G}alois representations in characteristic
2850
$3$},
2851
year = {1998},
2852
journal = {U.\thinspace{}C. Berkeley Ph.D. thesis}
2853
}
2854
2855
@Article{ jordan-livne:epsilon,
2856
author = {Jordan, B.\thinspace{}W. and Livn{\'e}, R.},
2857
title = {Conjecture ``epsilon'' for weight \protect{$k>2$}},
2858
journal = {Bull. Amer. Math. Soc. (N.S.)},
2859
fjournal = {American Mathematical Society. Bulletin. New Series},
2860
volume = {21},
2861
year = {1989},
2862
number = {1},
2863
pages = {51--56},
2864
issn = {0273-0979},
2865
coden = {BAMOAD}
2866
}
2867
2868
@Article{ jordan-livne:sha,
2869
author = {Jordan, B.\thinspace{}W. and Livn{\'e}, R.},
2870
title = {On {A}tkin-{L}ehner quotients of {S}himura curves},
2871
journal = {Bull. London Math. Soc.},
2872
fjournal = {The Bulletin of the London Mathematical Society},