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Author: William A. Stein
1
@article{python,
2
author = {Rossum, Guido van},
3
title = {Python,\newline{\tt http://www.python.org}}
4
}
5
6
7
8
9
@article{cha:shabound,
10
author = {Cha, Byungchul},
11
title = {Vanishing of {S}ome {C}ohomology {G}roups
12
and {B}ounds for the {S}hafarevich-{T}ate {G}roups
13
of {E}lliptic {C}urves},
14
journal = {Johns-Hopkins Ph.D. Thesis},
15
year = {2003}
16
}
17
18
19
@article {cassels:7,
20
AUTHOR = {Cassels, J. W. S.},
21
TITLE = {Arithmetic on curves of genus 1. {VIII}. {O}n conjectures of
22
{B}irch and {S}winnerton-{D}yer},
23
JOURNAL = {J. Reine Angew. Math.},
24
VOLUME = {217},
25
YEAR = {1965},
26
PAGES = {180--199},
27
MRCLASS = {14.48 (14.49)},
28
MRNUMBER = {31 \#3420},
29
MRREVIEWER = {T. Ono},
30
}
31
32
@article {kedlaya:mw1,
33
AUTHOR = {Kedlaya, K.\thinspace{}S.},
34
TITLE = {Errata for: ``{C}ounting points on hyperelliptic curves using
35
{M}onsky-{W}ashnitzer cohomology'' [{J}. {R}amanujan {M}ath.\
36
{S}oc.\ {\bf 16} (2001), no. 4, 323--338},
37
NOTE = {Dedicated to Professor K. S. Padmanabhan},
38
JOURNAL = {J. Ramanujan Math. Soc.},
39
FJOURNAL = {Journal of the Ramanujan Mathematical Society},
40
VOLUME = {18},
41
YEAR = {2003},
42
NUMBER = {4},
43
PAGES = {417--418},
44
ISSN = {0970-1249},
45
MRCLASS = {14G05 (11G25 14F43 14G15)},
46
MRNUMBER = {2 043 934},
47
}
48
49
@article {abbott:padic,
50
AUTHOR = {Abbott, J.},
51
TITLE = {Recovery of algebraic numbers from their $p$-adic approximations},
52
JOURNAL = {Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation},
53
PAGES = {112--120},
54
YEAR = {1989},
55
ISBN = {0-89791-325-6},
56
PUBLISHER = {ACM Press, New York, NY, USA}
57
}
58
59
@article {tate:arithmetic,
60
AUTHOR = {Tate, J.},
61
TITLE = {The arithmetic of elliptic curves},
62
JOURNAL = {Invent. Math.},
63
VOLUME = {23},
64
YEAR = {1974},
65
PAGES = {179--206},
66
MRCLASS = {10D05 (14G25 14K15)},
67
MRNUMBER = {54 \#7380},
68
MRREVIEWER = {A. P. Ogg},
69
}
70
71
72
@article {mazur-tate:sigma,
73
AUTHOR = {Mazur, B. and Tate, J.},
74
TITLE = {The {$p$}-adic sigma function},
75
JOURNAL = {Duke Math. J.},
76
FJOURNAL = {Duke Mathematical Journal},
77
VOLUME = {62},
78
YEAR = {1991},
79
NUMBER = {3},
80
PAGES = {663--688},
81
ISSN = {0012-7094},
82
CODEN = {DUMJAO},
83
MRCLASS = {11G07 (11S80)},
84
MRNUMBER = {93d:11059},
85
}
86
87
@book {artin-tate:cft,
88
AUTHOR = {Artin, E. and Tate, J.},
89
TITLE = {Class field theory},
90
SERIES = {Advanced Book Classics},
91
EDITION = {Second},
92
PUBLISHER = {Addison-Wesley Publishing Company Advanced Book Program},
93
ADDRESS = {Redwood City, CA},
94
YEAR = {1990},
95
PAGES = {xxxviii+259},
96
ISBN = {0-201-51011-1},
97
MRCLASS = {11R37 (11-01 11R34)},
98
MRNUMBER = {91b:11129},
99
}
100
101
@article {mahler:inequalities,
102
AUTHOR = {Mahler, K.},
103
TITLE = {Inequalities for ideal bases in algebraic number fields},
104
JOURNAL = {J. Austral. Math. Soc.},
105
VOLUME = {4},
106
YEAR = {1964},
107
PAGES = {425--448},
108
MRCLASS = {12.50},
109
MRNUMBER = {31 \#1243},
110
MRREVIEWER = {L. R. McCulloh},
111
}
112
113
@article {iwasawa:adele,
114
AUTHOR = {Iwasawa, K.},
115
TITLE = {On the rings of valuation vectors},
116
JOURNAL = {Ann. of Math. (2)},
117
VOLUME = {57},
118
YEAR = {1953},
119
PAGES = {331--356},
120
MRCLASS = {10.0X},
121
MRNUMBER = {14,849a},
122
MRREVIEWER = {J. T. Tate},
123
}
124
125
@book {lang:algebraic_numbers,
126
AUTHOR = {Lang, S.},
127
TITLE = {Algebraic numbers},
128
PUBLISHER = {Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo
129
Alto-London},
130
YEAR = {1964},
131
PAGES = {ix+163},
132
MRCLASS = {10.65},
133
MRNUMBER = {28 \#3974},
134
MRREVIEWER = {S. Chowla},
135
}
136
137
@book {cassels:lectures,
138
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
139
TITLE = {Lectures on elliptic curves},
140
SERIES = {London Mathematical Society Student Texts},
141
VOLUME = {24},
142
PUBLISHER = {Cambridge University Press},
143
ADDRESS = {Cambridge},
144
YEAR = {1991},
145
PAGES = {vi+137},
146
ISBN = {0-521-41517-9; 0-521-42530-1},
147
MRCLASS = {11G05 (14H52)},
148
MRNUMBER = {92k:11058},
149
MRREVIEWER = {Philippe Satg{\'e}},
150
}
151
152
@article {lenstra:pell,
153
AUTHOR = {Lenstra, Jr., H.\thinspace{}W.},
154
TITLE = {Solving the {P}ell equation},
155
JOURNAL = {Notices Amer. Math. Soc.},
156
FJOURNAL = {Notices of the American Mathematical Society},
157
VOLUME = {49},
158
YEAR = {2002},
159
NUMBER = {2},
160
PAGES = {182--192},
161
ISSN = {0002-9920},
162
CODEN = {AMNOAN},
163
MRCLASS = {11D09 (01A99 11R27)},
164
MRNUMBER = {2002i:11028},
165
MRREVIEWER = {Duncan A. Buell},
166
}
167
168
@book {artin:algebra,
169
AUTHOR = {Artin, M.},
170
TITLE = {Algebra},
171
PUBLISHER = {Prentice Hall Inc.},
172
ADDRESS = {Englewood Cliffs, NJ},
173
YEAR = {1991},
174
PAGES = {xviii+618},
175
ISBN = {0-13-004763-5},
176
MRCLASS = {00A05 (11-01 12-01 13-01 15-01 16-01 20-01)},
177
MRNUMBER = {92g:00001},
178
MRREVIEWER = {Gerald J. Janusz},
179
}
180
181
182
@book {artin:ant,
183
AUTHOR = {Artin, E.},
184
TITLE = {Theory of algebraic numbers},
185
SERIES = {Notes by Gerhard W\"urges from lectures held at the
186
Mathematisches Institut, G\"ottingen, Germany, in the Winter
187
Semester},
188
VOLUME = {1956/7},
189
PUBLISHER = {George Striker, Schildweg 12, G\"ottingen},
190
YEAR = {1959},
191
PAGES = {172},
192
MRCLASS = {10.65},
193
MRNUMBER = {24 \#A1884},
194
MRREVIEWER = {L. Carlitz},
195
}
196
197
@book {am,
198
AUTHOR = {Atiyah, M. F. and Macdonald, I. G.},
199
TITLE = {Introduction to commutative algebra},
200
PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.-London-Don
201
Mills, Ont.},
202
YEAR = {1969},
203
PAGES = {ix+128},
204
MRCLASS = {13.00},
205
MRNUMBER = {39 \#4129},
206
MRREVIEWER = {J. A. Johnson},
207
}
208
209
@Article{ agashe,
210
author = {Agashe, A.},
211
title = {On invisible elements of the {T}ate-{S}hafarevich group},
212
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
213
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
214
Math\'ematique},
215
volume = {328},
216
year = {1999},
217
number = {5},
218
pages = {369--374},
219
issn = {0764-4442},
220
coden = {CASMEI},
221
mrclass = {11Gxx},
222
mrnumber = {1 678 131}
223
}
224
225
@Article{ agashe-stein:bsd,
226
author = "Agashe, A. and Stein, W.\thinspace{}A.",
227
title = "Visible {E}vidence for the {B}irch and {S}winnerton-{D}yer
228
{C}onjecture for {M}odular {A}belian {V}arieties of
229
{A}nalytic {R}ank~$0$",
230
date = 2004,
231
journal = {to appear in Math. of Computation}
232
}
233
234
@Article{ agashe-stein:manin,
235
author = "Agashe, A. and Stein, W.\thinspace{}A.",
236
title = "The Manin Constant, Congruence Primes, and the Modular
237
Degree",
238
year = {2004},
239
journal = {Preprint,\hfill\\ {\tt
240
http://modular.fas.harvard.edu/papers/manin-agashe/}}
241
}
242
243
@Article{ agashe-stein:schoof-appendix,
244
author = {Lario, J.-C. and Schoof, R.}},
245
title = {Some computations with {H}ecke rings and deformation
246
rings},
247
note = {With an appendix by Amod Agashe and William Stein},
248
journal = {Experiment. Math.},
249
fjournal = {Experimental Mathematics},
250
volume = {11},
251
year = {2002},
252
number = {2},
253
pages = {303--311},
254
issn = {1058-6458},
255
mrclass = {11F80 (11F11 11F25)},
256
mrnumber = {2004b:11072},
257
mrreviewer = {Lea Terracini}
258
}
259
260
@Article{ agashe-stein:visibility,
261
author = {Agashe, A. and Stein, W.\thinspace{}A.},
262
title = {Visibility of {S}hafarevich-{T}ate groups of abelian
263
varieties},
264
journal = {J. Number Theory},
265
fjournal = {Journal of Number Theory},
266
volume = {97},
267
year = {2002},
268
number = {1},
269
pages = {171--185},
270
issn = {0022-314X},
271
coden = {JNUTA9},
272
mrclass = {11G40 (11G10 14K15)},
273
mrnumber = {2003h:11070},
274
mrreviewer = {Chandan Singh Dalawat}
275
}
276
277
@Article{ agashe:invisible,
278
author = {Agash{\'e}, Amod},
279
title = {On invisible elements of the {T}ate-{S}hafarevich group},
280
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
281
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
282
Math\'ematique},
283
volume = {328},
284
year = {1999},
285
number = {5},
286
pages = {369--374},
287
issn = {0764-4442},
288
coden = {CASMEI},
289
mrclass = {11G40 (11G10 11G18)},
290
mrnumber = {2000e:11083},
291
mrreviewer = {Kenneth Kramer}
292
}
293
294
@Article{ agashe:phd,
295
author = "Agashe, A.",
296
title = {The {B}irch and {S}winnerton-{D}yer formula for modular
297
abelian varieties of analytic rank~$0$},
298
journal = {Ph.D. thesis, University of California, Berkeley},
299
year = {2000}
300
}
301
302
@Book{ antwerpiv,
303
title = {Modular functions of one variable. {I}{V}},
304
booktitle = {Proceedings of the International Summer School on Modular
305
Functions of One Variable and Arithmetical Applications,
306
RUCA, University of Antwerp, Antwerp, July 17--August 3,
307
1972},
308
editor = {Birch, B.\thinspace{}J. and Kuyk, W.},
309
note = {Lecture Notes in Mathematics, Vol. 476},
310
publisher = {Springer-Verlag},
311
address = {Berlin},
312
year = {1975},
313
pages = {iv+151}
314
}
315
316
@Article{ artin:conjecture,
317
author = {Artin, E.},
318
title = {{\"U}ber eine neue {A}rt von {L}-Reihen},
319
journal = {Abh. Math. Sem. Univ. Hamburg},
320
volume = {3},
321
year = {1923 or 1924??? CHECK!},
322
pages = {89--108}
323
}
324
325
@Article{ artin:conjecture2,
326
author = {Artin, E},
327
title = {Zur {T}heorie der {L}-{R}eihen mit allgemeinen
328
{G}ruppencharakteren},
329
journal = {Abh. math. Semin. Univ. Hamburg},
330
volume = {8},
331
year = {1930},
332
pages = {292--306}
333
}
334
335
@Article{ ash-stevens,
336
author = {Ash, A. and Stevens, G.},
337
title = {Cohomology of arithmetic groups and congruences between
338
systems of {H}ecke eigenvalues},
339
journal = {J. Reine Angew. Math.},
340
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
341
volume = {365},
342
year = {1986},
343
pages = {192--220},
344
issn = {0075-4102},
345
coden = {JRMAA8}
346
}
347
348
@Article{ atkin-lehner,
349
author = {Atkin, A.\thinspace{}O.\thinspace{}L. and Lehner, J.},
350
title = {Hecke operators on \protect{$\Gamma \sb{0}(m)$}},
351
journal = {Math. Ann.},
352
volume = {185},
353
year = {1970},
354
pages = {134--160}
355
}
356
357
@Article{ bdsbt,
358
author = {Buzzard, K. and Dickinson, M. and Shepherd-Barron, N. and
359
Taylor, R.},
360
title = {On icosahedral {A}rtin representations},
361
journal = { \protect{\tt
362
http://www.math.harvard.edu/HTML/Individuals/Richard\_Taylor.html}}
363
,
364
date = {2000}
365
}
366
367
@Book{ bgr,
368
author = {Bosch, S. and G{\"u}ntzer, U. and Remmert, R.},
369
title = {Non-{A}rchimedean analysis: A systematic approach to rigid
370
analytic geometry},
371
publisher = {Springer-Verlag},
372
address = {Berlin},
373
year = {1984},
374
pages = {xii+436},
375
isbn = {3-540-12546-9},
376
mrclass = {32K10 (30G05 46P05)},
377
mrnumber = {86b:32031},
378
mrrevr = {W. Bartenwerfer}
379
}
380
381
@InCollection{ birch:atkin,
382
author = {Birch, B.},
383
title = {Atkin and the {A}tlas {L}ab},
384
booktitle = {Proceedings of the conference in honor of
385
A.\thinspace{}O.\thinspace{}L. Atkin held at the University
386
of Illinois, Chicago, IL, September 1995},
387
pages = {13--20},
388
publisher = {Amer. Math. Soc.},
389
address = {Providence, RI},
390
year = {1998},
391
mrclass = {11-03 (01A60 11F30 11F33)},
392
mrnumber = {99c:11002},
393
mrrevr = {V. Kumar Murty}
394
}
395
396
@InCollection{ birch:bsd,
397
author = {Birch, B.\thinspace{}J.},
398
title = {Elliptic curves over \protect{${\mathbf{Q}}$: {A}}
399
progress report},
400
booktitle = {1969 Number Theory Institute (Proc. Sympos. Pure Math.,
401
Vol. XX, State Univ. New York, Stony Brook, N.Y., 1969)},
402
pages = {396--400},
403
publisher = {Amer. Math. Soc.},
404
address = {Providence, R.I.},
405
year = {1971}
406
}
407
408
@InCollection{ birch:cyclo,
409
author = {Birch, B.\thinspace{}J.},
410
title = {Cyclotomic fields and {K}ummer extensions},
411
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
412
Brighton, 1965)},
413
pages = {85--93},
414
publisher = {Thompson, Washington, D.C.},
415
year = {1967}
416
}
417
418
@InCollection{ birch:edsac,
419
author = {Birch, B. J.},
420
title = {Conjectures concerning elliptic curves},
421
booktitle = {Proceedings of Symposia in Pure Mathematics, VIII},
422
pages = {106--112},
423
publisher = {Amer. Math. Soc.},
424
address = {Providence, R.I.},
425
year = {1965},
426
mrclass = {14.49 (14.40)},
427
mrnumber = {30 \#4759},
428
mrreviewer = {J. W. S. Cassels}
429
}
430
431
@InCollection{ birch:hecke_actions,
432
author = {Birch, B. J.},
433
title = {Hecke actions on classes of ternary quadratic forms},
434
booktitle = {Computational number theory (Debrecen, 1989)},
435
pages = {191--212},
436
publisher = {de Gruyter},
437
address = {Berlin},
438
year = {1991},
439
mrclass = {11E45 (11E20 11F11 11G05 11Y35)},
440
mrnumber = {93i:11047},
441
mrrevr = {Rainer Schulze-Pillot}
442
}
443
444
@InCollection{ bloch-kato,
445
author = {Bloch, S. and Kato, K.},
446
title = {\protect{${L}$}-functions and \protect{T}amagawa numbers
447
of motives},
448
booktitle = {The Grothendieck Festschrift, Vol. \protect{I}},
449
pages = {333--400},
450
publisher = {Birkh\"auser Boston},
451
address = {Boston, MA},
452
year = {1990}
453
}
454
455
@Article{ bockle:density,
456
author = {B{\"o}ckle, Gebhard},
457
title = {On the density of modular points in universal deformation
458
spaces},
459
journal = {Amer. J. Math.},
460
fjournal = {American Journal of Mathematics},
461
volume = {123},
462
year = {2001},
463
number = {5},
464
pages = {985--1007},
465
issn = {0002-9327},
466
coden = {AJMAAN},
467
mrclass = {11F80},
468
mrnumber = {1 854 117}
469
}
470
471
@Article{ bolling:sha,
472
author = {B{\"o}lling, Reinhard},
473
title = {Die {O}rdnung der {S}chafarewitsch-{T}ate-{G}ruppe kann
474
beliebig gro\ss \ werden},
475
journal = {Math. Nachr.},
476
volume = {67},
477
year = {1975},
478
pages = {157--179},
479
mrclass = {14K15},
480
mrnumber = {52 \#5684},
481
mrreviewer = {J. W. S. Cassels}
482
}
483
484
@Proceedings{ boston,
485
title = {Modular forms and \protect{F}ermat's last theorem
486
(Boston,MA, 1995)},
487
editor = {Cornell, G. and Silverman, J.\thinspace{}H. and Stevens,
488
G.},
489
note = {Papers from the Instructional Conference on Number Theory
490
and Arithmetic Geometry held at Boston University, Boston,
491
MA, August 9--18, 1995},
492
publisher = {Springer-Verlag},
493
address = {New York},
494
year = {1997},
495
pages = {xx+582},
496
isbn = {0-387-94609-8}
497
}
498
499
@Article{ boston-lenstra-ribet,
500
author = {N. Boston and \protect{H.\thinspace{}W. Lenstra, Jr.} and
501
K.\thinspace{}A. Ribet},
502
title = {Quotients of group rings arising from two-dimensional
503
representations},
504
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
505
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
506
Math\'ematique},
507
volume = {312},
508
year = {1991},
509
number = {4},
510
pages = {323--328},
511
issn = {0764-4442},
512
coden = {CASMEI}
513
}
514
515
@Article{ breuil-conrad-diamond-taylor,
516
author = {Breuil, C. and Conrad, B. and Diamond, F. and Taylor, R.},
517
title = {On the modularity of elliptic curves over {$\bold Q$}:
518
wild 3-adic exercises},
519
journal = {J. Amer. Math. Soc.},
520
fjournal = {Journal of the American Mathematical Society},
521
volume = {14},
522
year = {2001},
523
number = {4},
524
pages = {843--939 (electronic)},
525
issn = {0894-0347},
526
mrclass = {11G05 (11F80 11G07 14G35)},
527
mrnumber = {2002d:11058},
528
mrreviewer = {Karl Rubin}
529
}
530
531
@Article{ brue,
532
author = {Brueggeman, S.},
533
title = {The non-existence of certain \protect{Galois} extensions
534
unramified outside 5},
535
journal = {Journal of Number Theory},
536
volume = {75},
537
year = {1999},
538
pages = {47--52}
539
}
540
541
@Article{ brumer-mcguinness,
542
author = {Brumer, A. and McGuinness, O.},
543
title = {The behavior of the {M}ordell-{W}eil group of elliptic
544
curves},
545
journal = {Bull. Amer. Math. Soc. (N.S.)},
546
fjournal = {American Mathematical Society. Bulletin. New Series},
547
volume = {23},
548
year = {1990},
549
number = {2},
550
pages = {375--382},
551
issn = {0273-0979},
552
coden = {BAMOAD},
553
mrclass = {11G40 (11-04 11G05)},
554
mrnumber = {91b:11076},
555
mrreviewer = {Kenneth Kramer},
556
note = {\protect{\tt http://shimura.math.berkeley.edu/\~{ }oisin/}}
557
}
558
559
@Article{ brumer:rank,
560
author = {Brumer, A.},
561
title = {The rank of \protect{${J}\sb 0({N})$}},
562
note = {Columbia University Number Theory Seminar (New York,
563
1992)},
564
journal = {Ast\'erisque},
565
fjournal = {Ast\'erisque},
566
number = {228},
567
year = {1995},
568
pages = {3, 41--68},
569
issn = {0303-1179}
570
}
571
572
@Article{ buhler-gross,
573
author = {Buhler, J.\thinspace{}P. and Gross, B.\thinspace{}H.},
574
title = {Arithmetic on elliptic curves with complex multiplication.
575
{I}{I}},
576
journal = {Invent. Math.},
577
fjournal = {Inventiones Mathematicae},
578
volume = {79},
579
year = {1985},
580
number = {1},
581
pages = {11--29},
582
issn = {0020-9910},
583
coden = {INVMBH},
584
mrclass = {11G40 (11G05 14K22)},
585
mrnumber = {86j:11066},
586
mrreviewer = {Kenneth Kramer}
587
}
588
589
@Book{ buhler:thesis,
590
author = {Buhler, J.\thinspace{}P.},
591
title = {Icosahedral \protect{G}alois representations},
592
note = {Lecture Notes in Mathematics, Vol. 654},
593
publisher = {Springer-Verlag},
594
address = {Berlin},
595
year = {1978},
596
pages = {ii+143},
597
isbn = {3-540-08844-X}
598
}
599
600
@Article{ bump-friedberg-hoffstein,
601
author = {Bump, D. and Friedberg, S. and Hoffstein, J.},
602
title = {Eisenstein series on the metaplectic group and
603
nonvanishing theorems for automorphic
604
\protect{${L}$}-functions and their derivatives},
605
journal = {Ann. of Math. (2)},
606
fjournal = {Annals of Mathematics. Second Series},
607
volume = {131},
608
year = {1990},
609
number = {1},
610
pages = {53--127},
611
issn = {0003-486X},
612
coden = {ANMAAH}
613
}
614
615
@Article{ buzzard-stein:artin,
616
author = {Buzzard, K. and Stein, W.\thinspace{}A.},
617
title = {A mod five approach to modularity of icosahedral {G}alois
618
representations},
619
journal = {Pacific J. Math.},
620
fjournal = {Pacific Journal of Mathematics},
621
volume = {203},
622
year = {2002},
623
number = {2},
624
pages = {265--282},
625
issn = {0030-8730},
626
coden = {PJMAAI},
627
mrclass = {11F80},
628
mrnumber = {2003c:11052},
629
mrreviewer = {Mark Edward Tristan Dickinson}
630
}
631
632
@Article{ buzzard-taylor,
633
author = {Buzzard, K. and Taylor, R.},
634
title = {Companion forms and weight one forms},
635
journal = {Ann. of Math. (2)},
636
fjournal = {Annals of Mathematics. Second Series},
637
volume = {149},
638
year = {1999},
639
number = {3},
640
pages = {905--919},
641
issn = {0003-486X},
642
coden = {ANMAAH},
643
mrclass = {11Fxx},
644
mrnumber = {1 709 306}
645
}
646
647
@Article{ buzzard:level,
648
author = {Buzzard, K.},
649
title = {On level-lowering for mod 2 representations},
650
journal = {preprint}
651
}
652
653
@Article{ buzzard:t2,
654
author = {Buzzard, Kevin},
655
title = {On the eigenvalues of the {H}ecke operator {$T\sb 2$}},
656
journal = {J. Number Theory},
657
fjournal = {Journal of Number Theory},
658
volume = {57},
659
year = {1996},
660
number = {1},
661
pages = {130--132},
662
issn = {0022-314X},
663
coden = {JNUTA9},
664
mrclass = {11F25},
665
mrnumber = {96m:11033},
666
mrreviewer = {Thomas R. Shemanske}
667
}
668
669
@Article{ carayol:modell,
670
author = {Carayol, H.},
671
title = {Sur les \protect{repr\'esentations} galoisiennes modulo
672
\protect{$\ell$ attach\'ees} aux formes modulaires},
673
journal = {Duke Math. J.},
674
volume = {59},
675
year = {1989},
676
pages = {785--801}
677
}
678
679
@Article{ carearly,
680
author = "Carayol, H.",
681
title = {Sur les \protect{repr\'esentations}
682
\protect{$\ell$-adiques} \protect{associ\'ees} aux formes
683
modulaires de \protect{Hilbert}},
684
journal = {Ann. scient. \protect{\'Ec.} Norm. Sup., \protect{$4^{\rm
685
eb}$ s\'erie}},
686
volume = {19},
687
year = {1986},
688
pages = {409--468}
689
}
690
691
@InProceedings{ casselman,
692
author = {Casselman, W.},
693
title = {On representations of \protect{${\rm {G}{L}}\sb{2}$} and
694
the arithmetic of modular curves},
695
booktitle = {Modular functions of one variable, II (Proc. Internat.
696
Summer School, Univ. Antwerp, Antwerp, 1972)},
697
pages = {107--141. Lecture Notes in Math., Vol. 349},
698
publisher = {Springer},
699
address = {Berlin},
700
year = {1973}
701
}
702
703
@Book{ cassels-flynn,
704
author = {Cassels, J.\thinspace{}W.\thinspace{}S. and Flynn,
705
E.\thinspace{}V.},
706
title = {Prolegomena to a middlebrow arithmetic of curves of genus
707
\protect{$2$}},
708
publisher = {Cambridge University Press},
709
address = {Cambridge},
710
year = {1996},
711
pages = {xiv+219},
712
isbn = {0-521-48370-0},
713
mrclass = {11G30 (11Y50 14G25)},
714
mrnumber = {97i:11071},
715
mrrevr = {Joseph H. Silverman}
716
}
717
718
@Proceedings{ cassels-frohlich,
719
title = {Algebraic number theory},
720
booktitle = {Proceedings of the instructional conference held at the
721
University of Sussex, Brighton, September 1--17, 1965},
722
editor = {Cassels, J.\thinspace{}W.\thinspace{}S. and
723
\protect{Fr{\"o}hlich}, A.},
724
note = {Reprint of the 1967 original},
725
publisher = {Academic Press Inc. [Harcourt Brace Jovanovich
726
Publishers]},
727
address = {London},
728
year = {1986},
729
pages = {xviii+366},
730
isbn = {0-12-163251-2}
731
}
732
733
@Article{ cassels:arithmeticiii,
734
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
735
title = {{A}rithmetic on curves of genus $1$. {I}{I}{I}. {T}he
736
{T}ate-\v {S}afarevi\v c and {S}elmer groups},
737
journal = {Proc. London Math. Soc. (3)},
738
volume = {12},
739
year = {1962},
740
pages = {259--296},
741
mrclass = {14.49},
742
mrnumber = {29 \#1212}
743
}
744
745
@Article{ cassels:arithmeticiv,
746
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
747
title = {Arithmetic on curves of genus \protect{$1$}. {I}{V}.
748
{P}roof of the {H}auptvermutung},
749
journal = {J. Reine Angew. Math.},
750
volume = {211},
751
year = {1962},
752
pages = {95--112}
753
}
754
755
@Article{ cassels:arithmeticv,
756
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
757
title = {Arithmetic on curves of genus 1. {V}. {T}wo
758
counterexamples},
759
journal = {J. London Math. Soc.},
760
volume = {38},
761
year = {1963},
762
pages = {244--248}
763
}
764
765
@Article{ cassels:bigsha,
766
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
767
title = {Arithmetic on curves of genus $1$. {V}{I}. {T}he {T}ate-\v
768
{S}afarevi\v c group can be arbitrarily large},
769
journal = {J. Reine Angew. Math.},
770
volume = {214/215},
771
year = {1964},
772
pages = {65--70},
773
mrclass = {14.49 (10.12)},
774
mrnumber = {29 \#104},
775
mrreviewer = {P. Abellanas}
776
}
777
778
@Article{ cassels:diophantinecurve,
779
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
780
title = {Diophantine equations with special reference to elliptic
781
curves},
782
journal = {J. London Math. Soc.},
783
volume = {41},
784
year = {1966},
785
pages = {193--291}
786
}
787
788
@InCollection{ cassels:global,
789
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
790
title = {Global fields},
791
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
792
Brighton, 1965)},
793
pages = {42--84},
794
publisher = {Thompson, Washington, D.C.},
795
year = {1967}
796
}
797
798
@Article{ cerednik,
799
author = {{\v{C}}erednik, I.\thinspace{}V.},
800
title = {Uniformization of algebraic curves by discrete arithmetic
801
subgroups of \protect{${\rm {P}{G}{L}}\sb{2}(k\sb{w})$}
802
with compact quotient spaces},
803
journal = {Mat. Sb. (N.S.)},
804
volume = {100(142)},
805
year = {1976},
806
number = {1},
807
pages = {59--88, 165}
808
}
809
810
@Article{ cheryl,
811
author = {Beaver, Cheryl DeLorme},
812
title = {$5$-torsion in the {S}hafarevich-{T}ate group of a family
813
of elliptic curves},
814
journal = {J. Number Theory},
815
fjournal = {Journal of Number Theory},
816
volume = {82},
817
year = {2000},
818
number = {1},
819
pages = {25--46},
820
issn = {0022-314X},
821
coden = {JNUTA9},
822
mrclass = {11G05 (11G07)},
823
mrnumber = {2001d:11059},
824
mrreviewer = {Kenneth Kramer}
825
}
826
827
@Article{ chevalley:thm,
828
author = {Chevalley, C.},
829
title = {Une d\'emonstration d'un th\'eor\`eme sur les groupes
830
alg\'ebriques},
831
journal = {J. Math. Pures Appl. (9)},
832
volume = {39},
833
year = {1960},
834
pages = {307--317},
835
mrclass = {14.50},
836
mrnumber = {23 \#A3743},
837
mrreviewer = {I. Barsotti}
838
}
839
840
@Book{ cime-1997,
841
author = "Viola, C.",
842
title = "{Arithmetic theory of elliptic curves. Lectures given at
843
the 3rd session of the {C}entro {I}nternazionale
844
{M}atematico {E}stivo \protect{(CIME)}.}",
845
language = "English",
846
source = "{{L}ecture {N}otes in {M}athematics. 1716. {B}erlin:
847
{S}pringer. viii, 260 p. DM 74.00; oeS 541.00; sFr. 67.50;
848
\sterling 28.50; \$ 52.80 (1999). [ISBN 3-540-66546-3/hbk;
849
ISSN 0075-8434]}",
850
publisher = {Springer-Verlag},
851
address = {Berlin},
852
year = {1997},
853
pages = {260}
854
}
855
856
@Article{ cmi:problems,
857
author = {Clay Mathematics Institute},
858
title = {Millennium Prize Problems,\hfill\\{\tt
859
http://www.claymath.org/Millennium\_Prize\_Problems/}}
860
}
861
862
@Article{ coates-wiles:bsd,
863
author = {Coates, J. and Wiles, A.},
864
title = {On the conjecture of {B}irch and {S}winnerton-{D}yer},
865
journal = {Invent. Math.},
866
volume = {39},
867
year = {1977},
868
number = {3},
869
pages = {223--251},
870
mrclass = {14G10 (10D15 14G25)},
871
mrnumber = {57 \#3134},
872
mrreviewer = {Kenneth A. Ribet}
873
}
874
875
@Article{ cohen-oesterle:dimensions,
876
author = {Cohen, H. and Oesterl{\'e}, J.},
877
title = {Dimensions des espaces de formes modulaires},
878
booktitle = {Modular functions of one variable, VI (Proc. Second
879
Internat. Conf., Univ. Bonn, Bonn, 1976)},
880
pages = {69--78. Lecture Notes in Math., Vol. 627},
881
publisher = {Springer},
882
address = {Berlin},
883
year = {1977},
884
mrclass = {10D15},
885
mrnumber = {57 \#12396},
886
mrrevr = {R. A. Rankin}
887
}
888
889
@Book{ cohen:course_ant,
890
author = {Cohen, H.},
891
title = {A course in computational algebraic number theory},
892
publisher = {Springer-Verlag},
893
address = {Berlin},
894
year = {1993},
895
pages = {xii+534},
896
isbn = {3-540-55640-0},
897
mrclass = {11Y40 (11Rxx 68Q40)},
898
mrnumber = {94i:11105},
899
mrreviewer = {Joe P. Buhler}
900
}
901
902
@Article{ coleman-edixhoven,
903
author = {Coleman, R.\thinspace{}F. and Edixhoven, B.},
904
title = {On the semi-simplicity of the \protect{${U}\sb
905
p$}-operator on modular forms},
906
journal = {Math. Ann.},
907
fjournal = {Mathematische Annalen},
908
volume = {310},
909
year = {1998},
910
number = {1},
911
pages = {119--127},
912
issn = {0025-5831},
913
coden = {MAANA},
914
mrclass = {11F25 (11F11 11F33 11F85)},
915
mrnumber = {99b:11043},
916
mrrevr = {Alexey A. Panchishkin}
917
}
918
919
@Article{ coleman-stein:padicapprox,
920
author = {Coleman, R.},
921
title = {Approximation of Infinite-Slope Modular Eigenforms By
922
Finite-Slope Eigenforms},
923
journal = {to appear in the Dwork Proceedings},
924
year = {2003}
925
}
926
927
@Article{ coleman-voloch,
928
author = {Coleman, R.\thinspace{}F. and Voloch, J.\thinspace{}F.},
929
title = {Companion forms and \protect{K}odaira-\protect{S}pencer
930
theory},
931
journal = {Invent. Math.},
932
fjournal = {Inventiones Mathematicae},
933
volume = {110},
934
year = {1992},
935
number = {2},
936
pages = {263--281},
937
issn = {0020-9910},
938
coden = {INVMBH}
939
}
940
941
@Article{ coleman:banach,
942
author = {Coleman, R.\thinspace{}F.},
943
title = {$p$-adic {B}anach spaces and families of modular forms},
944
journal = {Invent. Math.},
945
fjournal = {Inventiones Mathematicae},
946
volume = {127},
947
year = {1997},
948
number = {3},
949
pages = {417--479},
950
issn = {0020-9910},
951
coden = {INVMBH},
952
mrclass = {11F33 (11F67 11F85 11G07 14E30)},
953
mrnumber = {98b:11047},
954
mrrevr = {Alexey A. Panchishkin}
955
}
956
957
@Article{ coleman:classical,
958
author = {Coleman, R.\thinspace{}F.},
959
title = {Classical and overconvergent modular forms},
960
journal = {Invent. Math.},
961
fjournal = {Inventiones Mathematicae},
962
volume = {124},
963
year = {1996},
964
number = {1-3},
965
pages = {215--241},
966
issn = {0020-9910},
967
coden = {INVMBH},
968
mrclass = {11F85 (14G20)},
969
mrnumber = {97d:11090a},
970
mrrevr = {Fernando Q. Gouv\^ea}
971
}
972
973
@Article{ coleman:classical_higher,
974
author = {Coleman, R.\thinspace{}F.},
975
title = {Classical and overconvergent modular forms of higher
976
level},
977
journal = {J. Th\'eor. Nombres Bordeaux},
978
fjournal = {Journal de Th\'eorie des Nombres de Bordeaux},
979
volume = {9},
980
year = {1997},
981
number = {2},
982
pages = {395--403},
983
issn = {1246-7405},
984
mrclass = {11F85 (11F11)},
985
mrnumber = {99g:11071},
986
mrrevr = {Conjeeveram S. Rajan}
987
}
988
989
@Article{ coleman:monodromy,
990
author = {Coleman, R.},
991
title = {The {M}onodromy {P}airing},
992
journal = {Asian Math. Journal},
993
volume = {4},
994
year = {2000},
995
pages = {315--330}
996
}
997
998
@Article{ coleman:serre,
999
author = {Coleman, R.\thinspace{}F.},
1000
title = {Serre's conjecture: {T}he {J}ugentraum of the 20th
1001
century},
1002
note = {XII School of Algebra, Part I (Portuguese) (Diamantina,
1003
1992)},
1004
journal = {Mat. Contemp.},
1005
fjournal = {Matem\'atica Contempor\cflex anea},
1006
volume = {6},
1007
year = {1994},
1008
pages = {13--18},
1009
issn = {0103-9059},
1010
mrclass = {12F05 (11F03 12F12)},
1011
mrnumber = {95j:12003},
1012
mrrevr = {Henri Darmon}
1013
}
1014
1015
@Article{ colmez_fontaine,
1016
author = {Colmez, P. and Fontaine, J.-M.},
1017
title = {Construction des repr\'esentations {$p$}-adiques
1018
semi-stables},
1019
journal = {Invent. Math.},
1020
fjournal = {Inventiones Mathematicae},
1021
volume = {140},
1022
year = {2000},
1023
number = {1},
1024
pages = {1--43},
1025
issn = {0020-9910},
1026
coden = {INVMBH},
1027
mrclass = {11S23 (14F30 14F40)},
1028
mrnumber = {2001g:11184},
1029
mrreviewer = {Mark Kisin}
1030
}
1031
1032
@Article{ conrad-diamond-taylor:modularity,
1033
author = {Conrad, B. and Diamond, F. and Taylor, R.},
1034
title = {Modularity of certain potentially
1035
\protect{B}arsotti-\protect{T}ate \protect{G}alois
1036
representations},
1037
journal = {J. Amer. Math. Soc.},
1038
fjournal = {Journal of the American Mathematical Society},
1039
volume = {12},
1040
year = {1999},
1041
number = {2},
1042
pages = {521--567},
1043
issn = {0894-0347}
1044
}
1045
1046
@Article{ conrad-edixhoven-stein:j1p,
1047
author = {Conrad, B. and Edixhoven, S. and Stein, W.\thinspace{}A.},
1048
title = {${J}_1(p)$ {H}as {C}onnected {F}ibers},
1049
year = 2003,
1050
journal = {Documenta Mathematica},
1051
volume = {8},
1052
pages = {331--408}
1053
}
1054
1055
@Article{ conrad-stein:compgroup,
1056
author = {Conrad, B. and Stein, W.\thinspace{}A.},
1057
title = {Component groups of purely toric quotients},
1058
journal = {Math. Res. Lett.},
1059
fjournal = {Mathematical Research Letters},
1060
volume = {8},
1061
year = {2001},
1062
number = {5-6},
1063
pages = {745--766},
1064
issn = {1073-2780},
1065
mrclass = {11G18 (11G10 11G40 14K15)},
1066
mrnumber = {2003f:11087},
1067
mrreviewer = {Antoine Chambert-Loir}
1068
}
1069
1070
@Article{ conrad:eulerprod,
1071
author = {Conrad, K.},
1072
title = {{P}artial {E}uler products on the critical line},
1073
journal = {Preprint},
1074
year = {2003}
1075
}
1076
1077
@InCollection{ conrad:shimura,
1078
author = {Conrad, B.},
1079
title = {The Shimura Construction in Weight 2 (appendix to
1080
{R}ibet-{S}tein, {L}ectures on {S}erre's {C}onjecture)},
1081
booktitle = {Arithmetic algebraic geometry (Park City, UT, 1999)},
1082
series = {IAS/Park City Math. Ser.},
1083
volume = {9},
1084
pages = {205--232},
1085
publisher = {Amer. Math. Soc.},
1086
address = {Providence, RI},
1087
year = {2001},
1088
mrclass = {11F80 (11F66 11G05)},
1089
mrnumber = {2002h:11047}
1090
}
1091
1092
@InCollection{ conrey-farmer:nonvanish,
1093
author = {Conrey, J.\thinspace{}B. and Farmer, D.\thinspace{}W.},
1094
title = {Hecke operators and the nonvanishing of {$L$}-functions},
1095
booktitle = {Topics in number theory (University Park, PA, 1997)},
1096
series = {Math. Appl.},
1097
volume = {467},
1098
pages = {143--150},
1099
publisher = {Kluwer Acad. Publ.},
1100
address = {Dordrecht},
1101
year = {1999},
1102
mrclass = {11F67 (11F25)},
1103
mrnumber = {2000f:11055},
1104
mrreviewer = {Vinayak Vatsal}
1105
}
1106
1107
@Article{ cremona-luiz,
1108
title = {\protect{C++} matrix classes},
1109
author = {Cremona, J.\thinspace{}E. and Luiz F.}
1110
}
1111
1112
@Article{ cremona-mazur,
1113
author = {Cremona, J.\thinspace{}E. and Mazur, B.},
1114
title = {Visualizing elements in the {S}hafarevich-{T}ate group},
1115
journal = {Experiment. Math.},
1116
fjournal = {Experimental Mathematics},
1117
volume = {9},
1118
year = {2000},
1119
number = {1},
1120
pages = {13--28},
1121
issn = {1058-6458},
1122
mrclass = {11Gxx (14Gxx)},
1123
mrnumber = {1 758 797}
1124
}
1125
1126
@Book{ cremona:algs,
1127
author = {Cremona, J.\thinspace{}E.},
1128
title = {Algorithms for modular elliptic curves},
1129
edition = {Second},
1130
publisher = {Cambridge University Press},
1131
address = {Cambridge},
1132
year = {1997},
1133
pages = {vi+376},
1134
isbn = {0-521-59820-6},
1135
note = {Complete text available at {\tt http://www.maths.nott.ac.uk/personal/jec/book/}}
1136
}
1137
1138
1139
@Article{ cremona:gammaone,
1140
author = {Cremona, J.\thinspace{}E.},
1141
title = {Modular symbols for \protect{$\Gamma\sb 1({N})$} and
1142
elliptic curves with everywhere good reduction},
1143
journal = {Math. Proc. Cambridge Philos. Soc.},
1144
fjournal = {Mathematical Proceedings of the Cambridge Philosophical
1145
Society},
1146
volume = {111},
1147
year = {1992},
1148
number = {2},
1149
pages = {199--218},
1150
issn = {0305-0041},
1151
coden = {MPCPCO}
1152
}
1153
1154
@Article{ cremona:onlinetables,
1155
author = {Cremona, J.\thinspace{}E.},
1156
title = {Elliptic curves of conductor \protect{$\leq
1157
25000$},\hfill\\ {\tt
1158
http://www.maths.nott.ac.uk/personal/jec/ftp/data/}}
1159
}
1160
1161
@Article{ cremona:periods,
1162
author = {Cremona, J.\thinspace{}E.},
1163
title = {Computing periods of cusp forms and modular elliptic
1164
curves},
1165
journal = {Experiment. Math.},
1166
fjournal = {Experimental Mathematics},
1167
volume = {6},
1168
year = {1997},
1169
number = {2},
1170
pages = {97--107},
1171
issn = {1058-6458}
1172
}
1173
1174
@Book{ curtis-reiner,
1175
author = {Curtis, C.\thinspace{}W. and Reiner, I.},
1176
title = {Representation theory of finite groups and associative
1177
algebras},
1178
note = {Pure and Applied Mathematics, Vol. XI},
1179
publisher = {Interscience Publishers, a division of John Wiley \& Sons,
1180
New York-London},
1181
year = {1962},
1182
pages = {xiv+685}
1183
}
1184
1185
@InCollection{ darmon-bsd,
1186
author = {Darmon, H.},
1187
title = {Wiles' theorem and the arithmetic of elliptic curves},
1188
booktitle = {Modular forms and Fermat's last theorem (Boston, MA,
1189
1995)},
1190
pages = {549--569},
1191
publisher = {Springer},
1192
address = {New York},
1193
year = {1997},
1194
mrclass = {11G40 (11G05)},
1195
mrnumber = {1 638 495}
1196
}
1197
1198
@Article{ darmon-merel,
1199
author = {Darmon, H. and Merel, L.},
1200
title = {Winding quotients and some variants of {F}ermat's last
1201
theorem},
1202
journal = {J. Reine Angew. Math.},
1203
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
1204
volume = {490},
1205
year = {1997},
1206
pages = {81--100},
1207
issn = {0075-4102},
1208
coden = {JRMAA8},
1209
mrclass = {11G18 (11D41 11F80 11G05)},
1210
mrnumber = {98h:11076},
1211
mrrevr = {Kenneth Kramer}
1212
}
1213
1214
@InCollection{ darmon:serre,
1215
author = {Darmon, Henri},
1216
title = {Serre's conjectures},
1217
booktitle = {Seminar on Fermat's Last Theorem (Toronto, ON,
1218
1993--1994)},
1219
pages = {135--153},
1220
publisher = {Amer. Math. Soc.},
1221
address = {Providence, RI},
1222
year = {1995},
1223
mrclass = {11F80 (11F11 11R32)},
1224
mrnumber = {96h:11048},
1225
mrrevr = {Dipendra Prasad}
1226
}
1227
1228
@InCollection{ ddt,
1229
author = {Darmon, H. and Diamond, F. and Taylor, R.},
1230
title = {Fermat's last theorem},
1231
booktitle = {Current developments in mathematics, 1995 (Cambridge,
1232
MA)},
1233
pages = {1--154},
1234
publisher = {Internat. Press},
1235
address = {Cambridge, MA},
1236
year = {1994}
1237
}
1238
1239
@InProceedings{ deligne,
1240
author = {Deligne, P.},
1241
title = {Formes modulaires et \protect{repr\'{e}sentations
1242
$\ell$-adiques.}},
1243
note = {Lecture Notes in Mathematics, Vol. 179},
1244
publisher = {Springer-Verlag},
1245
booktitle = {\protect{S\'{e}m.} Bourbaki no. 355, 1968/69},
1246
address = {Berlin and New York},
1247
year = {1971},
1248
pages = {139--172}
1249
}
1250
1251
@InProceedings{ deligne-rapoport,
1252
author = {Deligne, P. and Rapoport, M.},
1253
title = {Les sch\'emas de modules de courbes elliptiques},
1254
booktitle = {Modular functions of one variable, II (Proc. Internat.
1255
Summer School, Univ. Antwerp, Antwerp, 1972)},
1256
pages = {143--316. Lecture Notes in Math., Vol. 349},
1257
publisher = {Springer},
1258
address = {Berlin},
1259
year = {1973}
1260
}
1261
1262
@Article{ deligne-serre,
1263
author = {Deligne, P. and Serre, J-P.},
1264
title = {Formes modulaires de poids $1$},
1265
journal = {Ann. Sci. \'Ecole Norm. Sup. (4)},
1266
volume = {7},
1267
year = {1974},
1268
pages = {507--530 (1975)}
1269
}
1270
1271
@InCollection{ diamond-im,
1272
author = {Diamond, F. and Im, J.},
1273
title = {Modular forms and modular curves},
1274
booktitle = {Seminar on {F}ermat's {L}ast {T}heorem},
1275
pages = {39--133},
1276
pppublisher = {Amer. Math. Soc.},
1277
address = {Providence, RI},
1278
year = {1995}
1279
}
1280
1281
@Article{ diamond-kramer,
1282
author = {Diamond, F. and Kramer, K.},
1283
title = {Modularity of a family of elliptic curves},
1284
journal = {Math. Res. Lett.},
1285
fjournal = {Mathematical Research Letters},
1286
volume = {2},
1287
year = {1995},
1288
number = {3},
1289
pages = {299--304},
1290
issn = {1073-2780}
1291
}
1292
1293
@InProceedings{ diamond:refined,
1294
author = {Diamond, F.},
1295
title = {The refined conjecture of \protect{S}erre},
1296
booktitle = {Elliptic curves, modular forms, \& \protect{F}ermat's last
1297
theorem (\protect{H}ong \protect{K}ong, 1993)},
1298
pages = {22--37},
1299
publisher = {Internat. Press},
1300
address = {Cambridge, MA},
1301
year = {1995}
1302
}
1303
1304
@Article{ dickinson:thesis,
1305
author = {Dickinson, M.},
1306
title = {On the modularity of certain $2$-adic Galois
1307
representations},
1308
journal = {Harvard Ph.D. thesis},
1309
year = {2000}
1310
}
1311
1312
@Book{ dixcohomologie,
1313
title = {Dix expos\'es sur la cohomologie des sch\'emas},
1314
note = {Advanced Studies in Pure Mathematics, Vol. 3},
1315
publisher = {North-Holland Publishing Co.},
1316
address = {Amsterdam},
1317
year = {1968},
1318
pages = {vi+386},
1319
mrclass = {14.55},
1320
mrnumber = {39 #2777}
1321
}
1322
1323
@Article{ doud,
1324
author = {Doud, D.},
1325
title = {\protect{${S}\sb 4$} and \protect{$\tilde {S}{}\sb 4$}
1326
extensions of \protect{${\bf {Q}}$} ramified at only one prime},
1327
journal = {J. Number Theory},
1328
fjournal = {Journal of Number Theory},
1329
volume = {75},
1330
year = {1999},
1331
number = {2},
1332
pages = {185--197},
1333
issn = {0022-314X},
1334
coden = {JNUTA9}
1335
}
1336
1337
@Article{ drinfeld:coverings,
1338
author = {Drinfeld, V.\thinspace{}G.},
1339
title = {Coverings of \protect{$p$-adic} symmetric domains},
1340
journal = {Funkcional. Anal. i Prilov zen.},
1341
volume = {10},
1342
year = {1976},
1343
number = {2},
1344
pages = {29--40}
1345
}
1346
1347
@Article{ dummigan-stein-watkins:motives,
1348
author = {Dummigan, N. and Watkins, M. and Stein, W.\thinspace{}A.},
1349
title = {{Constructing Elements in Shafarevich-Tate Groups of
1350
Modular Motives}},
1351
journal = {Number theory and algebraic geometry, ed. by Miles
1352
Reid and Alexei Skorobogatov},
1353
year = {2003},
1354
volume = {303},
1355
series = {Lecture Notes Series},
1356
publisher = {Cambridge Univ. Press},
1357
pages = {91--118}
1358
}
1359
1360
@Article{ dummigan:cp,
1361
author = {Dummigan, N.},
1362
title = {Period ratios of modular forms},
1363
journal = {to appear in Math. Annalen}
1364
}
1365
1366
@Article{ edixcole,
1367
author = {Coleman, R.\thinspace{}F. and Edixhoven, B.},
1368
title = {On the semi-simplicity of the \protect{${U}\sb
1369
p$}-operator on modular forms},
1370
journal = {Math. Ann.},
1371
fjournal = {Mathematische Annalen},
1372
volume = {310},
1373
year = {1998},
1374
number = {1},
1375
pages = {119--127},
1376
issn = {0025-5831},
1377
coden = {MAANA}
1378
}
1379
1380
@Article{ edixhoven:comparison,
1381
author = {Edixhoven, B.},
1382
title = {Comparison of integral structures on spaces of modular
1383
forms of weight two, and computation of spaces of forms
1384
mod~$2$ of weight one},
1385
date = {July, 2003},
1386
journal = {preprint}
1387
}
1388
1389
@Article{ edixhoven:eisen,
1390
author = {Edixhoven, B.},
1391
title = {L'action de l'alg\`ebre de \protect{H}ecke sur les groupes
1392
de composantes des jacobiennes des courbes modulaires est
1393
``\protect{E}isenstein''},
1394
note = {Courbes modulaires et courbes de Shimura (Orsay,
1395
1987/1988)},
1396
journal = {Ast\'erisque},
1397
fjournal = {Ast\'erisque},
1398
number = {196--197},
1399
year = {1991},
1400
pages = {7--8, 159--170 (1992)},
1401
issn = {0303-1179}
1402
}
1403
1404
@Article{ edixhoven:erratum,
1405
author = {Edixhoven, B.},
1406
title = {Erratum and addendum: ``{T}he role of {S}erre's conjecture
1407
in the proof of {F}ermat's theorem''},
1408
journal = {Gaz. Math.},
1409
fjournal = {Gazette des Math\'ematiciens},
1410
number = {67},
1411
year = {1996},
1412
pages = {19},
1413
issn = {0224-8999},
1414
mrclass = {11F33 (11D41 11F80 11G05)},
1415
mrnumber = {96k:11055b},
1416
mrrevr = {Fernando Q. Gouv\^ea}
1417
}
1418
1419
@InCollection{ edixhoven:manin,
1420
author = {Edixhoven, B.},
1421
title = {On the {M}anin constants of modular elliptic curves},
1422
booktitle = {Arithmetic algebraic geometry (Texel, 1989)},
1423
pages = {25--39},
1424
publisher = {Birkh\"auser Boston},
1425
address = {Boston, MA},
1426
year = {1991},
1427
mrclass = {11G05 (14G25)},
1428
mrnumber = {92a:11066},
1429
mrreviewer = {Philippe Satg{\'e}}
1430
}
1431
1432
@Article{ edixhoven:minimal,
1433
author = {Edixhoven, B.},
1434
title = {Minimal resolution and stable reduction of
1435
\protect{${X}\sb 0({N})$}},
1436
journal = {Ann. Inst. Fourier (Grenoble)},
1437
fjournal = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
1438
volume = {40},
1439
year = {1990},
1440
number = {1},
1441
pages = {31--67},
1442
issn = {0373-0956},
1443
coden = {AIFUA7},
1444
mrclass = {11G18 (14G35)},
1445
mrnumber = {92f:11080},
1446
mrreviewer = {Autorreferat}
1447
}
1448
1449
@InProceedings{ edixhoven:serre,
1450
author = {Edixhoven, B.},
1451
title = {Serre's conjecture},
1452
booktitle = {Modular forms and \protect{F}ermat's last theorem (Boston,
1453
MA, 1995)},
1454
pages = {209--242},
1455
publisher = {Springer},
1456
address = {New York},
1457
year = {1997}
1458
}
1459
1460
@Article{ edixhoven:serrerole,
1461
author = {Edixhoven, B.},
1462
title = {Le r\^{o}le de la conjecture de {S}erre dans la
1463
d\'emonstration du th\'eor\`eme de {F}ermat},
1464
journal = {Gaz. Math.},
1465
fjournal = {Gazette des Math\'ematiciens},
1466
number = {66},
1467
year = {1995},
1468
pages = {25--41},
1469
issn = {0224-8999},
1470
mrclass = {11F33 (11D41 11F80 11G05)},
1471
mrnumber = {96k:11055a},
1472
mrrevr = {Fernando Q. Gouv\^ea}
1473
}
1474
1475
@Article{ edixhoven:tame,
1476
author = {Edixhoven, B.},
1477
title = {N\'eron models and tame ramification},
1478
journal = {Compositio Math.},
1479
fjournal = {Compositio Mathematica},
1480
volume = {81},
1481
year = {1992},
1482
number = {3},
1483
pages = {291--306},
1484
issn = {0010-437X},
1485
coden = {CMPMAF},
1486
mrclass = {14K15 (11G10)},
1487
mrnumber = {93a:14041},
1488
mrreviewer = {Min Ho Lee}
1489
}
1490
1491
@Article{ edixhoven:weight,
1492
author = {Edixhoven, B.},
1493
title = {The weight in \protect{S}erre's conjectures on modular
1494
forms},
1495
journal = {Invent. Math.},
1496
fjournal = {Inventiones Mathematicae},
1497
volume = {109},
1498
year = {1992},
1499
number = {3},
1500
pages = {563--594},
1501
issn = {0020-9910},
1502
coden = {INVMBH}
1503
}
1504
1505
@Article{ ega4_1,
1506
author = {Grothendieck, A.},
1507
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1508
\'{E}tude locale des sch\'emas et des morphismes de
1509
sch\'emas. {I}},
1510
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1511
number = {20},
1512
year = {1964},
1513
pages = {259},
1514
mrclass = {14.05 (13.10)},
1515
mrnumber = {30 \#3885},
1516
mrreviewer = {H. Hironaka}
1517
}
1518
1519
@Article{ ega4_2,
1520
author = {Grothendieck, A.},
1521
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1522
\'{E}tude locale des sch\'emas et des morphismes de
1523
sch\'emas. {I}{I}},
1524
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1525
number = {24},
1526
year = {1965},
1527
pages = {231},
1528
mrclass = {14.00},
1529
mrnumber = {33 \#7330},
1530
mrreviewer = {H. Hironaka}
1531
}
1532
1533
@Article{ ega4_3,
1534
author = {Grothendieck, A.},
1535
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1536
\'{E}tude locale des sch\'emas et des morphismes de
1537
sch\'emas. {I}{I}{I}},
1538
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1539
number = {28},
1540
year = {1966},
1541
pages = {255},
1542
mrclass = {14.55},
1543
mrnumber = {36 \#178},
1544
mrreviewer = {J. P. Murre}
1545
}
1546
1547
@Article{ ega4_4,
1548
author = {Grothendieck, A.},
1549
title = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique. {I}{V}.
1550
\'{E}tude locale des sch\'emas et des morphismes de
1551
sch\'emas {I}{V}},
1552
journal = {Inst. Hautes \'Etudes Sci. Publ. Math.},
1553
number = {32},
1554
year = {1967},
1555
pages = {361},
1556
mrclass = {14.55},
1557
mrnumber = {39 \#220},
1558
mrreviewer = {J. P. Murre}
1559
}
1560
1561
@Article{ eichler:ideal,
1562
author = {Eichler, M.},
1563
title = {Uber die Idealklassenzahl total definiter
1564
Quaternionenalgebren},
1565
journal = {Math. Zeit.},
1566
volume = {43},
1567
year = {1937},
1568
pages = {102--109}
1569
}
1570
1571
@Article{ eichler:quadratic,
1572
author = {Eichler, M.},
1573
title = {Quadratische \protect{F}ormen und
1574
\protect{M}odulfunktionen},
1575
journal = {Acta Arith.},
1576
volume = {4},
1577
year = {1958},
1578
pages = {217--239}
1579
}
1580
1581
@InCollection{ eigencurve,
1582
author = {Coleman, R. and Mazur, B.},
1583
title = {The {E}igencurve},
1584
booktitle = {Galois representations in arithmetic algebraic geometry
1585
(Durham, 1996)},
1586
pages = {1--113},
1587
publisher = {Cambridge Univ. Press},
1588
address = {Cambridge},
1589
year = {1998},
1590
mrclass = {11Fxx (11Gxx)},
1591
mrnumber = {1 696 469}
1592
}
1593
1594
@Book{ eisenbud,
1595
author = {Eisenbud, D.},
1596
title = {Commutative Algebra with a View Toward Algebraic
1597
Geometry},
1598
publisher = {Springer-Verlag},
1599
address = {New York},
1600
year = {1995},
1601
pages = {xvi+785},
1602
isbn = {0-387-94268-8; 0-387-94269-6},
1603
mrclass = {13-01 (14A05)},
1604
mrnumber = {97a:13001},
1605
mrrevr = {Matthew Miller}
1606
}
1607
1608
@Book{ eisenbud-harris,
1609
author = {Eisenbud, D. and Harris, J.},
1610
title = {{S}chemes, {T}he language of modern algebraic geometry},
1611
publisher = {Wadsworth \& Brooks/Cole Advanced Books \& Software},
1612
address = {Pacific Grove, CA},
1613
year = {1992},
1614
pages = {xii+157},
1615
isbn = {0-534-17606-2; 0-534-17604-6},
1616
mrclass = {14-01 (14A15)},
1617
mrnumber = {93k:14001},
1618
mrrevr = {Alexey N. Rudakov}
1619
}
1620
1621
@Book{ eisenbud-harris-2,
1622
author = {Eisenbud, D. and Harris, J.},
1623
title = {{S}chemes, {T}he language of modern algebraic geometry},
1624
note = {Graduate Texts in Mathematics, Vol.\ 197},
1625
publisher = {Springer-Verlag},
1626
address = {Berlin},
1627
year = {},
1628
pages = {}
1629
}
1630
1631
@Book{ eisenbud_harris:geometry,
1632
author = {Eisenbud, D. and Harris, J.},
1633
title = {The geometry of schemes},
1634
publisher = {Springer-Verlag},
1635
address = {New York},
1636
year = {2000},
1637
pages = {x+294},
1638
isbn = {0-387-98638-3; 0-387-98637-5},
1639
mrclass = {14A15 (14-01 14C05 14H50 14N05)},
1640
mrnumber = {2001d:14002},
1641
mrreviewer = {Allen B. Altman}
1642
}
1643
1644
@InCollection{ elkies:ffield,
1645
author = {Elkies, N.\thinspace{}D.},
1646
title = {Elliptic and modular curves over finite fields and related
1647
computational issues},
1648
booktitle = {Computational perspectives on number theory (Chicago, IL,
1649
1995)},
1650
pages = {21--76},
1651
publisher = {Amer. Math. Soc.},
1652
address = {Providence, RI},
1653
year = {1998}
1654
}
1655
1656
@InCollection{ elkies:heegner,
1657
author = {Elkies, N.\thinspace{}D.},
1658
title = {Heegner point computations},
1659
booktitle = {Algorithmic number theory (Ithaca, NY, 1994)},
1660
pages = {122--133},
1661
publisher = {Springer},
1662
address = {Berlin},
1663
year = {1994}
1664
}
1665
1666
@Article{ ellenberg-skinner:modularity,
1667
author = {Ellenberg, J. and Skinner, C.},
1668
title = {On the {M}odularity of {$\Q$}-curves},
1669
journal = {{\tt
1670
http://www.math.princeton.edu/~ellenber/papers.html\#QCURVE}}
1671
,
1672
year = {2000}
1673
}
1674
1675
@Article{ ellenberg:qcurves_survey,
1676
author = {Ellenberg, J.},
1677
title = {$\Q$-curves and {G}alois {R}epresentations},
1678
journal = {{\tt
1679
http://www.math.princeton.edu/~ellenber/papers.html\#MCAV}},
1680
year = {2002}
1681
}
1682
1683
@Article{ emerton:optimal,
1684
author = {Emerton, M.},
1685
title = {Optimal {Q}uotients of {M}odular {J}acobians},
1686
journal = {preprint},
1687
year = {2001}
1688
}
1689
1690
@Article{ empirical,
1691
author = {Flynn, E.\thinspace{}V. and \protect{Lepr\'{e}vost}, F.
1692
and Schaefer, E.\thinspace{}F. and Stein, W.\thinspace{}A.
1693
and Stoll, M. and Wetherell, J.\thinspace{}L.},
1694
title = {Empirical evidence for the {B}irch and {S}winnerton-{D}yer
1695
conjectures for modular {J}acobians of genus 2 curves},
1696
journal = {Math. Comp.},
1697
fjournal = {Mathematics of Computation},
1698
volume = {70},
1699
year = {2001},
1700
number = {236},
1701
pages = {1675--1697 (electronic)},
1702
issn = {0025-5718},
1703
coden = {MCMPAF},
1704
mrclass = {},
1705
mrnumber = {1 836 926}
1706
}
1707
1708
@Article{ faltings-finiteness,
1709
author = {Faltings, G.},
1710
title = {\protect{Endlichkeitss\"atze f\"ur} abelsche
1711
\protect{V}ariet\"aten \"uber \protect{Z}ahlk\"orpern},
1712
journal = {Invent. Math.},
1713
fjournal = {Inventiones Mathematicae},
1714
volume = {73},
1715
year = {1983},
1716
number = {3},
1717
pages = {349--366},
1718
issn = {0020-9910},
1719
coden = {INVMBH}
1720
}
1721
1722
@Article{ faltings-jordan,
1723
author = {Faltings, G. and Jordan, B.\thinspace{}W.},
1724
title = {Crystalline cohomology and \protect{${\rm {G}{L}}(2,{\bf
1725
{Q}})$}},
1726
journal = {Israel J. Math.},
1727
fjournal = {Israel Journal of Mathematics},
1728
volume = {90},
1729
year = {1995},
1730
number = {1-3},
1731
pages = {1--66},
1732
issn = {0021-2172},
1733
coden = {ISJMAP}
1734
}
1735
1736
@InCollection{ faltings:finiteness,
1737
author = {Faltings, G.},
1738
title = {Finiteness theorems for abelian varieties over number
1739
fields},
1740
booktitle = {Arithmetic geometry (Storrs, Conn., 1984)},
1741
pages = {9--27},
1742
note = {Translated from the German original [Invent.\ Math.\ {\bf
1743
73} (1983), no.\ 3, 349--366; ibid.\ {\bf 75} (1984), no.\
1744
2, 381; MR 85g:11026ab] by Edward Shipz},
1745
publisher = {Springer},
1746
address = {New York},
1747
year = {1986},
1748
mrclass = {11G10 (14K15)},
1749
mrnumber = {861 971}
1750
}
1751
1752
@Article{ farmer-james:maeda,
1753
author = {Farmer, D. W. and James, K.},
1754
title = {The irreducibility of some level 1 {H}ecke polynomials},
1755
journal = {Math. Comp.},
1756
fjournal = {Mathematics of Computation},
1757
volume = {71},
1758
year = {2002},
1759
number = {239},
1760
pages = {1263--1270 (electronic)},
1761
issn = {0025-5718},
1762
coden = {MCMPAF},
1763
mrclass = {11F25 (11F11)},
1764
mrnumber = {2003e:11046},
1765
mrreviewer = {T. C. Vasudevan}
1766
}
1767
1768
@Article{ fearnley:phd,
1769
author = {Fearnley, J.},
1770
title = {{V}anishing and {N}on-{V}anishing of {L}-Series of
1771
{E}lliptic {C}urves {T}wisted by {D}irichlet {C}haracters},
1772
year = 2001,
1773
journal = {Concordia Ph.D. thesis}
1774
}
1775
1776
@Article{ flach:pairing,
1777
author = {Flach, M.},
1778
title = {A generalisation of the {C}assels-{T}ate pairing},
1779
journal = {J. Reine Angew. Math.},
1780
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
1781
volume = {412},
1782
year = {1990},
1783
pages = {113--127},
1784
issn = {0075-4102},
1785
coden = {JRMAA8},
1786
mrclass = {11G09 (11R23 11S25)},
1787
mrnumber = {92b:11037},
1788
mrreviewer = {Vincent Fleckinger}
1789
}
1790
1791
@Article{ fontaine:groupes,
1792
author = {Fontaine, J-M.},
1793
title = {Groupes finis commutatifs sur les vecteurs de {W}itt},
1794
journal = {C. R. Acad. Sci. Paris S\'er. A-B},
1795
volume = {280},
1796
year = {1975},
1797
pages = {Ai, A1423--A1425},
1798
mrclass = {14L05},
1799
mrnumber = {51 \#10353},
1800
mrreviewer = {Robert A. Morris}
1801
}
1802
1803
@InCollection{ frey-muller,
1804
author = {Frey, G. and M{\"u}ller, M.},
1805
title = {Arithmetic of modular curves and applications},
1806
booktitle = {Algorithmic algebra and number theory (Heidelberg, 1997)},
1807
pages = {11--48},
1808
publisher = {Springer},
1809
address = {Berlin},
1810
year = {1999}
1811
}
1812
1813
@InProceedings{ frey:boston,
1814
author = {Frey, G.},
1815
title = {On ternary equations of \protect{F}ermat type and
1816
relations with elliptic curves},
1817
booktitle = {Modular forms and \protect{F}ermat's last theorem (Boston,
1818
MA, 1995)},
1819
pages = {527--548},
1820
publisher = {Springer},
1821
address = {New York},
1822
year = {1997},
1823
crossref = "boston"
1824
}
1825
1826
@Book{ freyetal,
1827
title = {On {A}rtin's conjecture for odd 2-dimensional
1828
representations},
1829
booktitle = {On {A}rtin's conjecture for odd 2-dimensional
1830
representations},
1831
editor = {Frey, G.},
1832
publisher = {Springer-Verlag},
1833
address = {Berlin},
1834
year = {1994},
1835
pages = {viii+148},
1836
isbn = {3-540-58387-4}
1837
}
1838
1839
@Article{ freyone,
1840
author = {Frey, G.},
1841
title = {Links between stable elliptic curves and certain
1842
{D}iophantine \protect{\nobreak{equations}}},
1843
journal = {Ann. Univ. Sarav. Ser. Math.},
1844
fjournal = {Annales Universitatis Saraviensis. Series Mathematicae},
1845
volume = {1},
1846
year = {1986},
1847
number = {1},
1848
pages = {iv+40}
1849
}
1850
1851
@InCollection{ freytwo,
1852
author = {Frey, G.},
1853
title = {Links between solutions of \protect{${A}-{B}={C}$} and
1854
elliptic curves},
1855
booktitle = {Number theory (Ulm, 1987)},
1856
pages = {31--62},
1857
publisher = {Springer},
1858
address = {New York},
1859
year = {1989}
1860
}
1861
1862
@InCollection{ frohlich:local,
1863
author = {Fr{\"o}hlich, A.},
1864
title = {Local fields},
1865
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
1866
Brighton, 1965) },
1867
pages = {1--41},
1868
publisher = {Thompson, Washington, D.C.},
1869
year = {1967}
1870
}
1871
1872
@Article{ fujiwara,
1873
author = {Fujiwara, K.},
1874
title = {Level optimization in the totally real case},
1875
journal = {in preparation},
1876
year = {1999}
1877
}
1878
1879
@Article{ galbraith,
1880
author = {Galbraith, S.\thinspace{}D.},
1881
title = {Equations for modular curves},
1882
year = {1996},
1883
journal = {Oxford Ph.D. thesis},
1884
pages = {91 pp.}
1885
}
1886
1887
@Article{ ganz-lario:manin,
1888
author = {Gonz\'{a}lez, J. and Lario, J-C.},
1889
title = {$\mathbf{Q}$-curves and their {M}anin ideals},
1890
journal = {preprint},
1891
year = {2000}
1892
}
1893
1894
@Article{ generatinghecke,
1895
author = "Agashe, A. and Stein, W.\thinspace{}A.",
1896
title = {Generating the \protect{H}ecke algebra},
1897
journal = {preprint},
1898
year = {1999}
1899
}
1900
1901
@Article{ goldfeld:complexity,
1902
author = {Goldfeld, D.},
1903
title = {On the computational complexity of modular symbols},
1904
journal = {Math. Comp.},
1905
fjournal = {Mathematics of Computation},
1906
volume = {58},
1907
year = {1992},
1908
number = {198},
1909
pages = {807--814},
1910
issn = {0025-5718},
1911
coden = {MCMPAF},
1912
mrclass = {11F67 (11Y35)},
1913
mrnumber = {93a:11042},
1914
mrrevr = {Glenn Stevens}
1915
}
1916
1917
@Article{ goldfeld:l1,
1918
author = {Goldfeld, D.},
1919
title = {Sur les produits partiels eul\'eriens attach\'es aux
1920
courbes elliptiques},
1921
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
1922
fjournal = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences.
1923
S\'erie I. Math\'ematique},
1924
volume = {294},
1925
year = {1982},
1926
number = {14},
1927
pages = {471--474},
1928
issn = {0249-6321},
1929
coden = {CHASAP},
1930
mrclass = {14K15 (12A70 14G10 14K07)},
1931
mrnumber = {84d:14031},
1932
mrreviewer = {Andrew Bremner}
1933
}
1934
1935
@Article{ gonzalez-lario:manin,
1936
author = {Gonz{\'a}lez, J. and Lario, J.-C.},
1937
title = {{$\mathbf{Q}$}-curves and their {M}anin ideals},
1938
journal = {Amer. J. Math.},
1939
fjournal = {American Journal of Mathematics},
1940
volume = {123},
1941
year = {2001},
1942
number = {3},
1943
pages = {475--503},
1944
issn = {0002-9327},
1945
coden = {AJMAAN},
1946
mrclass = {11G05 (11G18)},
1947
mrnumber = {2002e:11070},
1948
mrreviewer = {Ivica Gusi{\'c}}
1949
}
1950
1951
@Article{ gordon-ono:vis,
1952
title = {Modular form {C}ongruences and {S}elmer groups},
1953
author = {McGraw, W.\thinspace{}J. and Ono, K.},
1954
journal = {preprint},
1955
year = {2002}
1956
}
1957
1958
@InCollection{ gouvea-mazur:density,
1959
author = {Gouv\^{e}a, F.\thinspace{}Q. and Mazur, B.},
1960
title = {On the density of modular representations},
1961
booktitle = {Computational perspectives on number theory (Chicago, IL,
1962
1995)},
1963
pages = {127--142},
1964
publisher = {Amer. Math. Soc.},
1965
address = {Providence, RI},
1966
year = {1998},
1967
mrclass = {11F33 (11F80)},
1968
mrnumber = {99a:11056},
1969
mrreviewer = {Andrea Mori}
1970
}
1971
1972
@Article{ gouvea-mazur:families,
1973
author = {Gouv\^ea, F. and Mazur, B.},
1974
title = {Families of modular eigenforms},
1975
journal = {Math. Comp.},
1976
fjournal = {Mathematics of Computation},
1977
volume = {58},
1978
year = {1992},
1979
number = {198},
1980
pages = {793--805},
1981
issn = {0025-5718},
1982
coden = {MCMPAF},
1983
mrclass = {11F33 (11Y35 14G20)},
1984
mrnumber = {93d:11049},
1985
mrrevr = {Bas Edixhoven}
1986
}
1987
1988
@Article{ gouvea:ordinary,
1989
author = {Gouv\^ea, F.\thinspace{}Q.},
1990
title = {On the ordinary {H}ecke algebra},
1991
journal = {J. Number Theory},
1992
fjournal = {Journal of Number Theory},
1993
volume = {41},
1994
year = {1992},
1995
number = {2},
1996
pages = {178--198},
1997
issn = {0022-314X},
1998
coden = {JNUTA9}
1999
}
2000
2001
@Book{ gouvea:slnm,
2002
author = {Gouv\^{e}a, F.\thinspace{}Q.},
2003
title = {Arithmetic of $p$-adic modular forms},
2004
publisher = {Springer-Verlag},
2005
address = {Berlin},
2006
year = {1988},
2007
pages = {viii+121},
2008
isbn = {3-540-18946-7},
2009
mrclass = {11F85 (11F80)},
2010
mrnumber = {91e:11056},
2011
mrreviewer = {Alexey A. Panchishkin}
2012
}
2013
2014
@Book{ greenberg-harper,
2015
author = {Greenberg, M.\thinspace{}J. and Harper, J.\thinspace{}R.},
2016
title = {Algebraic topology},
2017
note = {A first course},
2018
publisher = {Benjamin/Cummings Publishing Co. Inc. Advanced Book
2019
Program},
2020
address = {Reading, Mass.},
2021
year = {1981},
2022
pages = {xi+311 pp. (loose errata)},
2023
isbn = {0-8053-3558-7; 0-8053-3557-9},
2024
mrclass = {55-01},
2025
mrnumber = {83b:55001},
2026
mrrevr = {J. P. May}
2027
}
2028
2029
@Article{ gross-kohnen-zagier,
2030
author = {Gross, B. and Kohnen, W. and Zagier, D.},
2031
title = {Heegner points and derivatives of ${L}$-series. {I}{I}},
2032
journal = {Math. Ann.},
2033
fjournal = {Mathematische Annalen},
2034
volume = {278},
2035
year = {1987},
2036
number = {1-4},
2037
pages = {497--562},
2038
issn = {0025-5831},
2039
coden = {MAANA3},
2040
mrclass = {11G40 (11F30 11G05 11R29 14G10)},
2041
mrnumber = {89i:11069},
2042
mrrevr = {Lawrence Washington}
2043
}
2044
2045
@Article{ gross-zagier,
2046
author = {Gross, B. and Zagier, D.},
2047
title = {Heegner points and derivatives of \protect{${L}$}-series},
2048
journal = {Invent. Math.},
2049
fjournal = {Inventiones Mathematicae},
2050
volume = {84},
2051
year = {1986},
2052
number = {2},
2053
pages = {225--320},
2054
issn = {0020-9910},
2055
coden = {INVMBH},
2056
mrclass = {11G40 (11F11 11G05 14G10)},
2057
mrnumber = {87j:11057},
2058
mrrevr = {Loren D. Olson}
2059
}
2060
2061
@InCollection{ gross:central,
2062
author = {Gross, B.\thinspace{}H.},
2063
title = {${L}$-functions at the central critical point},
2064
booktitle = {Motives (Seattle, WA, 1991)},
2065
pages = {527--535},
2066
publisher = {Amer. Math. Soc.},
2067
address = {Providence, RI},
2068
year = {1994},
2069
mrclass = {11G40 (14G10)},
2070
mrnumber = {95a:11060},
2071
mrrevr = {Jan Nekov{\'a}{\v{r}}}
2072
}
2073
2074
@InCollection{ gross:kolyvagin,
2075
author = {Gross, B.\thinspace{}H.},
2076
title = {Kolyvagin's work on modular elliptic curves},
2077
booktitle = {$L$-functions and arithmetic (Durham, 1989)},
2078
pages = {235--256},
2079
publisher = {Cambridge Univ. Press},
2080
address = {Cambridge},
2081
year = {1991}
2082
}
2083
2084
@Article{ gross:tameness,
2085
author = {Gross, B.\thinspace{}H.},
2086
title = {A tameness criterion for \protect{G}alois representations
2087
associated to modular forms (mod \protect{$p$})},
2088
journal = {Duke Math. J.},
2089
fjournal = {Duke Mathematical Journal},
2090
volume = {61},
2091
year = {1990},
2092
number = {2},
2093
pages = {445--517},
2094
issn = {0012-7094},
2095
coden = {DUMJAO}
2096
}
2097
2098
@Article{ gross_kudla,
2099
author = {Gross, B.\thinspace{}H. and Kudla, S.\thinspace{}S.},
2100
title = {Heights and the central critical values of triple product
2101
{$L$}-functions},
2102
journal = {Compositio Math.},
2103
fjournal = {Compositio Mathematica},
2104
volume = {81},
2105
year = {1992},
2106
number = {2},
2107
pages = {143--209},
2108
issn = {0010-437X},
2109
coden = {CMPMAF},
2110
mrclass = {11F66 (11F67 11G40 19F27)},
2111
mrnumber = {93g:11047},
2112
mrreviewer = {Alexey A. Panchishkin}
2113
}
2114
2115
@InCollection{ grothendieck:brauer1,
2116
author = {Grothendieck, Alexander},
2117
title = {Le groupe de {B}rauer. {I}. {A}lg\`ebres d'{A}zumaya et
2118
interpr\'etations diverses},
2119
booktitle = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
2120
pages = {46--66},
2121
publisher = {North-Holland},
2122
address = {Amsterdam},
2123
year = {1968},
2124
mrclass = {14.55},
2125
mrnumber = {39 #5586a}
2126
}
2127
2128
@InCollection{ grothendieck:brauer2,
2129
author = {Grothendieck, Alexander},
2130
title = {Le groupe de {B}rauer. {I}{I}. {T}h\'eorie cohomologique},
2131
booktitle = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
2132
pages = {67--87},
2133
publisher = {North-Holland},
2134
address = {Amsterdam},
2135
year = {1968},
2136
mrclass = {14.55},
2137
mrnumber = {39 #5586b}
2138
}
2139
2140
@InCollection{ grothendieck:brauer3,
2141
author = {Grothendieck, Alexander},
2142
title = {Le groupe de {B}rauer. {I}{I}{I}. {E}xemples et
2143
compl\'ements},
2144
booktitle = {Dix Expos\'es sur la Cohomologie des Sch\'emas},
2145
pages = {88--188},
2146
publisher = {North-Holland},
2147
address = {Amsterdam},
2148
year = {1968},
2149
mrclass = {14.55},
2150
mrnumber = {39 #5586c},
2151
mrrevr = {J. S. Milne}
2152
}
2153
2154
@Book{ grothendieck:monodromie,
2155
author = {Grothendieck, A.},
2156
title = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique.
2157
\protect{I}},
2158
note = {S\'eminaire de G\'eom\'etrie Alg\'ebrique du Bois-Marie
2159
1967--1969 (SGA 7 I), Dirig\'e par A. Grothendieck. Avec la
2160
collaboration de M. Raynaud et D. S. Rim, Lecture Notes in
2161
Mathematics, Vol. 288},
2162
publisher = {Springer-Verlag},
2163
address = {Berlin},
2164
year = {1972},
2165
pages = {viii+523}
2166
}
2167
2168
@InCollection{ gruenberg,
2169
author = {Gruenberg, K.},
2170
title = {Profinite groups},
2171
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
2172
Brighton, 1965)},
2173
pages = {116--127},
2174
publisher = {Thompson, Washington, D.C.},
2175
year = {1967}
2176
}
2177
2178
@Article{ guerzhoy:kummer,
2179
title = {Searching for {K}ummer congruences in an infinite slope
2180
family},
2181
author = {Guerzhoy, P.},
2182
year = {2000},
2183
journal = {Preprint}
2184
}
2185
2186
@Book{ guy:unsolved,
2187
author = {Guy, R.\thinspace{}K.},
2188
title = {Unsolved problems in number theory},
2189
edition = {Second},
2190
note = {Unsolved Problems in Intuitive Mathematics, I},
2191
publisher = {Springer-Verlag},
2192
address = {New York},
2193
year = {1994},
2194
pages = {xvi+285},
2195
isbn = {0-387-94289-0},
2196
mrclass = {11-01 (00A07 11-02)},
2197
mrnumber = {96e:11002},
2198
mrreviewer = {B. M. M. de Weger}
2199
}
2200
2201
@Book{ haberland,
2202
author = {Haberland, Klaus},
2203
title = {Galois cohomology of algebraic number fields},
2204
note = {With two appendices by Helmut Koch and Thomas Zink},
2205
publisher = {VEB Deutscher Verlag der Wissenschaften},
2206
address = {Berlin},
2207
year = {1978},
2208
pages = {145},
2209
mrclass = {12A60},
2210
mrnumber = {81i:12009},
2211
mrrevr = {Chih-Han Sah}
2212
}
2213
2214
@Book{ halmos:naive,
2215
author = {Halmos, Paul R.},
2216
title = {Naive set theory},
2217
series = {The University Series in Undergraduate Mathematics},
2218
publisher = {D. Van Nostrand Co., Princeton, N.J.-Toronto-London-New
2219
York},
2220
year = {1960},
2221
pages = {vii+104},
2222
mrclass = {04.00},
2223
mrnumber = {22 \#5575},
2224
mrreviewer = {L. Rieger}
2225
}
2226
2227
@Article{ hardy_littlewood:conjf,
2228
author = {Hardy, G.\thinspace{}H. and Littlewood, J.\thinspace{}E.},
2229
title = {Some {P}roblems of `{P}artitio {N}umerorum.' {I}{I}{I}.
2230
{O}n the {E}xpression of a {N}umber as a {S}um of
2231
{P}rimes.},
2232
journal = {Acta. Math.},
2233
volume = {44},
2234
year = {1922},
2235
pages = {1--70}
2236
}
2237
2238
@Book{ hartshorne,
2239
author = {Hartshorne, R.},
2240
title = {Algebraic {G}eometry},
2241
note = {Graduate Texts in Mathematics, No. 52},
2242
publisher = {Springer-Verlag},
2243
address = {New York},
2244
year = {1977},
2245
pages = {xvi+496},
2246
isbn = {0-387-90244-9}
2247
}
2248
2249
@Article{ hatada:eigenvalues79,
2250
author = {Hatada, K.},
2251
title = {Eigenvalues of {H}ecke operators on \protect{${\rm
2252
{S}{L}}(2,\,{\bf {Z}})$}},
2253
journal = {Math. Ann.},
2254
fjournal = {Mathematische Annalen},
2255
volume = {239},
2256
year = {1979},
2257
number = {1},
2258
pages = {75--96},
2259
issn = {0025-5831},
2260
coden = {MAANA3},
2261
mrclass = {10D15},
2262
mrnumber = {80b:10037},
2263
mrreviewer = {Roy Fuller}
2264
}
2265
2266
@Article{ hatada:general,
2267
author = {Hatada, K.},
2268
title = {On classical and {$l$}-adic modular forms of levels
2269
{$Nl\sp m$} and {$N$}},
2270
journal = {J. Number Theory},
2271
fjournal = {Journal of Number Theory},
2272
volume = {87},
2273
year = {2001},
2274
number = {1},
2275
pages = {1--14},
2276
issn = {0022-314X},
2277
coden = {JNUTA9},
2278
mrclass = {11F11 (11F80 11F85)},
2279
mrnumber = {2002e:11054},
2280
mrreviewer = {Luis V. Dieulefait}
2281
}
2282
2283
@Article{ hatada:rationality,
2284
author = {Hatada, K.},
2285
title = {Multiplicity one theorem and modular symbols},
2286
journal = {J. Math. Soc. Japan},
2287
fjournal = {Journal of the Mathematical Society of Japan},
2288
volume = {33},
2289
year = {1981},
2290
number = {3},
2291
pages = {445--470},
2292
issn = {0025-5645},
2293
coden = {NISUBC},
2294
mrclass = {10D12 (12A65)},
2295
mrnumber = {83d:10030},
2296
mrrevr = {Wen Ch'ing Winnie Li}
2297
}
2298
2299
@Book{ hellegouarch:invitation,
2300
author = {Hellegouarch, Y.},
2301
title = {Invitation aux math\'ematiques de {F}ermat-{W}iles},
2302
publisher = {Masson},
2303
address = {Paris},
2304
year = {1997},
2305
pages = {viii+401},
2306
isbn = {2-225-83008-8},
2307
mrclass = {11-01 (11D41 11F11 11G05 11G18)},
2308
mrnumber = {99e:11001},
2309
mrrevr = {Massimo Bertolini}
2310
}
2311
2312
@Article{ hida:invent86,
2313
author = {Hida, H.},
2314
title = {Galois representations into \protect{${\rm {G}{L}}\sb
2315
2({\bf {Z}}\sb p[[{X}]])$} attached to ordinary cusp forms},
2316
journal = {Invent. Math.},
2317
fjournal = {Inventiones Mathematicae},
2318
volume = {85},
2319
year = {1986},
2320
number = {3},
2321
pages = {545--613},
2322
issn = {0020-9910},
2323
coden = {INVMBH},
2324
mrclass = {11F11 (11F33 11F85 11R23)},
2325
mrnumber = {87k:11049},
2326
mrrevr = {Ernst-Wilhelm Zink}
2327
}
2328
2329
@Article{ hida:iwasawa,
2330
author = {Hida, H.},
2331
title = {Iwasawa modules attached to congruences of cusp forms},
2332
journal = {Ann. Sci. \'Ecole Norm. Sup. (4)},
2333
fjournal = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
2334
Quatri\`eme S\'erie},
2335
volume = {19},
2336
year = {1986},
2337
number = {2},
2338
pages = {231--273},
2339
issn = {0012-9593},
2340
coden = {ASENAH},
2341
mrclass = {11F33 (11G18 11R23)},
2342
mrnumber = {88i:11023},
2343
mrrevr = {Yasutaka Ihara}
2344
}
2345
2346
@Article{ hida:modularity,
2347
author = {Hida, H.},
2348
title = {Modularity {P}roblems of {$\Q$}-{M}otives and
2349
{B}ase-{C}hange},
2350
journal = {Preprint, {\tt http://www.math.ucla.edu/~hida/}},
2351
year = {2000}
2352
}
2353
2354
@Article{ hijikata:trace,
2355
author = {Hijikata, H.},
2356
title = {Explicit formula of the traces of \protect{H}ecke
2357
operators for \protect{$\Gamma_0(N)$}},
2358
journal = {J. Math. Soc. Japan},
2359
number = {1},
2360
volume = {26},
2361
year = {1974},
2362
pages = {56--82}
2363
}
2364
2365
@Book{ hindry-silverman:diophantine,
2366
author = {Hindry, Marc and Silverman, Joseph H.},
2367
title = {Diophantine geometry},
2368
note = {An introduction},
2369
publisher = {Springer-Verlag},
2370
address = {New York},
2371
year = {2000},
2372
pages = {xiv+558},
2373
isbn = {0-387-98975-7; 0-387-98981-1},
2374
mrclass = {11Gxx (11-02 11G10 11G30 11G50 14G25)},
2375
mrnumber = {2001e:11058},
2376
mrreviewer = {Dino J. Lorenzini}
2377
}
2378
2379
@InProceedings{ hpf,
2380
author = {Swinnerton-Dyer, H.\thinspace{}P.\thinspace{}F.},
2381
title = {On $\ell$-adic representations and congruences for
2382
coefficients of modular forms},
2383
booktitle = {Proceedings of the International Summer School, University
2384
of Antwerp, RUCA, July 17--August 3, 1972},
2385
pages = {1--55. Lecture Notes in Math., Vol. 350},
2386
publisher = {Springer},
2387
address = {Berlin},
2388
year = {1973}
2389
}
2390
2391
@Article{ igusa:fibre,
2392
author = {Igusa, J.},
2393
title = {Fibre systems of \protect{J}acobian varieties},
2394
journal = {Amer. J. Math.},
2395
volume = {78},
2396
year = {1956},
2397
pages = {171--199}
2398
}
2399
2400
@Book{ jacquet-langlands,
2401
author = {Jacquet, H. and Langlands, R.\thinspace{}P.},
2402
title = {Automorphic forms on \protect{${\rm {G}{L}}(2)$}},
2403
note = {Lecture Notes in Mathematics, Vol. 114},
2404
publisher = {Springer-Verlag},
2405
address = {Berlin},
2406
year = {1970},
2407
pages = {vii+548}
2408
}
2409
2410
@Article{ jarvis:hilbert,
2411
author = {Jarvis, F.},
2412
title = {On \protect{G}alois representations associated to
2413
\protect{H}ilbert modular forms},
2414
journal = {J. Reine Angew. Math.},
2415
fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
2416
volume = {491},
2417
year = {1997},
2418
pages = {199--216},
2419
issn = {0075-4102},
2420
coden = {JRMAA8}
2421
}
2422
2423
@Article{ jarvis:level,
2424
author = {Jarvis, F.},
2425
title = {Level lowering for modular mod \protect{$\ell$}
2426
representations over totally real fields\-},
2427
journal = {Math. Ann.},
2428
fjournal = {Mathematische Annalen},
2429
volume = {313},
2430
year = {1999},
2431
number = {1},
2432
pages = {141--160},
2433
issn = {0025-5831},
2434
coden = {MAANA}
2435
}
2436
2437
@Article{ jarvis:mazur,
2438
author = {Jarvis, F.},
2439
title = {Mazur's principle for totally real fields of odd degree},
2440
journal = {Compositio Math.},
2441
fjournal = {Compositio Mathematica},
2442
volume = {116},
2443
year = {1999},
2444
number = {1},
2445
pages = {39--79},
2446
issn = {0010-437X},
2447
coden = {CMPMAF}
2448
}
2449
2450
@InCollection{ jochnowitz:conjecture,
2451
author = {Jochnowitz, N.},
2452
title = {A $p$-adic conjecture about derivatives of ${L}$-series
2453
attached to modular forms},
2454
booktitle = {$p$-adic monodromy and the {B}irch and {S}winnerton-{D}yer
2455
conjecture},
2456
pages = {239--263},
2457
publisher = {Amer. Math. Soc.},
2458
address = {Providence, RI},
2459
year = {1994},
2460
mrclass = {11F33 (11F67 11F85 11G40)},
2461
mrnumber = {95g:11037},
2462
mrrevr = {Andrea Mori}
2463
}
2464
2465
@Article{ jochnowitz:duke,
2466
author = {Jochnowitz, N.},
2467
title = {The index of the {H}ecke ring, ${T}\sb{k}$, in the ring of
2468
integers of \protect{${T}\sb{k}\otimes {\bf {Q}}$}},
2469
journal = {Duke Math. J.},
2470
fjournal = {Duke Mathematical Journal},
2471
volume = {46},
2472
year = {1979},
2473
number = {4},
2474
pages = {861--869},
2475
issn = {0012-7094},
2476
coden = {DUMJAO},
2477
mrclass = {10D12},
2478
mrnumber = {80k:10023},
2479
mrrevr = {Henri Cohen}
2480
}
2481
2482
@Article{ jochnowitz:local,
2483
author = {Jochnowitz, N.},
2484
title = {A study of the local components of the \protect{H}ecke
2485
algebra mod \protect{$\ell$}},
2486
journal = {Trans. Amer. Math. Soc.},
2487
fjournal = {Transactions of the American Mathematical Society},
2488
volume = {270},
2489
year = {1982},
2490
number = {1},
2491
pages = {253--267},
2492
issn = {0002-9947},
2493
coden = {TAMTAM}
2494
}
2495
2496
@Article{ jones:thesis,
2497
author = {Jones, D.\thinspace{}M.},
2498
title = {On modular {G}alois representations in characteristic
2499
$3$},
2500
year = {1998},
2501
journal = {U.\thinspace{}C. Berkeley Ph.D. thesis}
2502
}
2503
2504
@Article{ jordan-livne:epsilon,
2505
author = {Jordan, B.\thinspace{}W. and Livn{\'e}, R.},
2506
title = {Conjecture ``epsilon'' for weight \protect{$k>2$}},
2507
journal = {Bull. Amer. Math. Soc. (N.S.)},
2508
fjournal = {American Mathematical Society. Bulletin. New Series},
2509
volume = {21},
2510
year = {1989},
2511
number = {1},
2512
pages = {51--56},
2513
issn = {0273-0979},
2514
coden = {BAMOAD}
2515
}
2516
2517
@Article{ jordan-livne:sha,
2518
author = {Jordan, B.\thinspace{}W. and Livn{\'e}, R.},
2519
title = {On {A}tkin-{L}ehner quotients of {S}himura curves},
2520
journal = {Bull. London Math. Soc.},
2521
fjournal = {The Bulletin of the London Mathematical Society},
2522
volume = {31},
2523
year = {1999},
2524
number = {6},
2525
pages = {681--685},
2526
issn = {0024-6093},
2527
coden = {LMSBBT},
2528
mrclass = {11G18 (11G10 14G35)},
2529
mrnumber = {2000j:11090},
2530
mrreviewer = {Chandrashekhar Khare}
2531
}
2532
2533
@Article{ joshi,
2534
author = {Joshi, K.},
2535
title = {Remarks on methods of {F}ontaine and {F}altings},
2536
journal = {Internat. Math. Res. Notices},
2537
fjournal = {International Mathematics Research Notices},
2538
volume = {1999},
2539
number = {22},
2540
pages = {1199--1209},
2541
issn = {1073-7928},
2542
mrclass = {11Fxx},
2543
mrnumber = {1 731 472}
2544
}
2545
2546
@InProceedings{ jps,
2547
author = {Serre, J-P.},
2548
title = {Congruences et formes modulaires [d'apr\`es
2549
{H}.\thinspace{}{P}.\thinspace{}{F}.\ {S}winnerton-{D}yer]},
2550
booktitle = {S\'eminaire Bourbaki, 24e ann\'ee (1971/1972), Exp. No.
2551
416},
2552
pages = {319--338. Lecture Notes in Math., Vol. 317},
2553
publisher = {Springer},
2554
address = {Berlin},
2555
year = {1973}
2556
}
2557
2558
@Article{ kato:secret,
2559
author = {Kato, K.},
2560
title = {$p$-adic {H}odge theory and values of zeta functions of
2561
modular forms},
2562
journal = {Preprint},
2563
pages = {244 pages}
2564
}
2565
2566
@Article{ katz:annals75,
2567
author = {Katz, N.\thinspace{}M.},
2568
title = {Higher congruences between modular forms},
2569
journal = {Ann. of Math. (2)},
2570
volume = {101},
2571
year = {1975},
2572
pages = {332--367},
2573
mrclass = {10D05 (14K15)},
2574
mrnumber = {54 #5120},
2575
mrrevr = {Neal Koblitz}
2576
}
2577
2578
@InProceedings{ katz:antwerp350,
2579
author = {Katz, N.\thinspace{}M.},
2580
title = {$p$-adic properties of modular schemes and modular forms},
2581
booktitle = {Modular functions of one variable, III (Proc. Internat.
2582
Summer School, Univ. Antwerp, Antwerp, 1972)},
2583
pages = {69--190. Lecture Notes in Mathematics, Vol. 350},
2584
publisher = {Springer},
2585
address = {Berlin},
2586
year = {1973}
2587
}
2588
2589
@Article{ katz:torsion,
2590
author = {Katz, N.\thinspace{}M.},
2591
title = {Galois properties of torsion points on abelian varieties},
2592
journal = {Invent. Math.},
2593
fjournal = {Inventiones Mathematicae},
2594
volume = {62},
2595
year = {1981},
2596
number = {3},
2597
pages = {481--502},
2598
issn = {0020-9910},
2599
coden = {INVMBH},
2600
mrclass = {14K15 (10D35 14G05)},
2601
mrnumber = {82d:14025},
2602
mrreviewer = {Kenneth A. Ribet}
2603
}
2604
2605
@InProceedings{ katzbonn,
2606
author = {Katz, N.\thinspace{}M.},
2607
title = {A result on modular forms in characteristic $p$},
2608
booktitle = {Modular functions of one variable, V (Proc. Second
2609
Internat. Conf., Univ. Bonn, Bonn, 1976)},
2610
pages = {53--61. Lecture Notes in Math., Vol. 601},
2611
publisher = {Springer},
2612
address = {Berlin},
2613
year = {1977}
2614
}
2615
2616
@Book{ katzmazur,
2617
author = {Katz, N.\thinspace{}M. and Mazur, B.},
2618
title = {Arithmetic moduli of elliptic curves},
2619
publisher = {Princeton University Press},
2620
address = {Princeton, N.J.},
2621
year = {1985},
2622
pages = {xiv+514},
2623
isbn = {0-691-08349-5, 0-691-08352-5}
2624
}
2625
2626
@Article{ khare:manu,
2627
author = {Khare, C.},
2628
title = {Multiplicities of mod $p$ {G}alois representations},
2629
journal = {Manuscripta Math.},
2630
fjournal = {Manuscripta Mathematica},
2631
volume = {95},
2632
year = {1998},
2633
number = {2},
2634
pages = {181--188},
2635
issn = {0025-2611},
2636
coden = {MSMHB2},
2637
mrclass = {11F80 (11F33 11G18)},
2638
mrnumber = {98m:11046},
2639
mrrevr = {Ian Kiming}
2640
}
2641
2642
@Article{ klenke:phd,
2643
author = "Klenke, T.",
2644
title = {Modular {V}arieties and {V}isibility},
2645
journal = {Ph.D. thesis, Harvard University},
2646
year = {2001}
2647
}
2648
2649
@Book{ knapp:elliptic,
2650
author = {Knapp, A.\thinspace{}W.},
2651
title = {Elliptic curves},
2652
publisher = {Princeton University Press},
2653
address = {Princeton, NJ},
2654
year = {1992},
2655
pages = {xvi+427},
2656
isbn = {0-691-08559-5}
2657
}
2658
2659
@Book{ koblitz:cong,
2660
author = {Koblitz, N.},
2661
title = {Introduction to elliptic curves and modular forms},
2662
series = {Graduate Texts in Mathematics},
2663
volume = {97},
2664
publisher = {Springer-Verlag},
2665
address = {New York},
2666
year = {1984},
2667
pages = {viii+248},
2668
isbn = {0-387-96029-5},
2669
mrclass = {11G05 (11G40 14G25 14K07)},
2670
mrnumber = {86c:11040},
2671
mrreviewer = {Leslie Jane Federer}
2672
}
2673
2674
@InProceedings{ kohel-stein:ants4,
2675
author = "Kohel, D.\thinspace{}R. and Stein, W.\thinspace{}A.",
2676
title = "Component {G}roups of {Q}uotients of \protect{$J_0(N)$}",
2677
booktitle = {Proceedings of the 4th International Symposium (ANTS-IV),
2678
Leiden, Netherlands, July 2--7, 2000},
2679
publisher = {Springer},
2680
address = {Berlin},
2681
year = {2000}
2682
}
2683
2684
@Article{ kohel:computing,
2685
author = "Kohel, D.\thinspace{}R.",
2686
title = "Computing modular curves via quaternions",
2687
journal = "Fourth CANT Conference",
2688
year = 1997
2689
}
2690
2691
@Article{ kohel:hecke,
2692
author = "Kohel, D.\thinspace{}R.",
2693
title = "Hecke Module Structure of Quaternions",
2694
journal = "In K. Miyake, ed., {\em Class Field Theory -- Its
2695
Centenary and Prospect}, The Advanced Studies in Pure
2696
Mathematics Series, Math Soc. Japan."
2697
}
2698
2699
@Article{ koike:conjtwist,
2700
author = "Koike, M.",
2701
title = "On certain abelian varieties obtained from new forms of
2702
weight $2$ on \protect{$\Gamma_0(3^4)$ and
2703
$\Gamma_0(3^5)$}",
2704
journal = {Nogoya Math. J.},
2705
volume = {62},
2706
year = {1976},
2707
pages = {29--39}
2708
}
2709
2710
@Article{ kolyvagin-logachev:finiteness,
2711
author = {Kolyvagin, V.\thinspace{}A. and Logachev, D.\thinspace{}Y.},
2712
title = {Finiteness of the \protect{S}hafarevich-\protect{T}ate
2713
group and the group of rational points for some modular
2714
abelian varieties},
2715
journal = {Algebra i Analiz},
2716
fjournal = {Algebra i Analiz},
2717
volume = {1},
2718
year = {1989},
2719
number = {5},
2720
pages = {171--196},
2721
issn = {0234-0852}
2722
}
2723
2724
@Article{ kolyvagin-logachev:totallyreal,
2725
author = "Kolyvagin, V.\thinspace{}A. and Logachev,
2726
D.\thinspace{}Y.",
2727
title = "Finiteness of \protect{$\Sha$} over totally real fields",
2728
journal = {Math. USSR Izvestiya},
2729
volume = {39},
2730
year = {1992},
2731
number = {1},
2732
pages = {829--853}
2733
}
2734
2735
@InCollection{ kolyvagin:euler_systems,
2736
author = {Kolyvagin, V. A.},
2737
title = {Euler systems},
2738
booktitle = {The Grothendieck Festschrift, Vol.\ II},
2739
pages = {435--483},
2740
publisher = {Birkh\"auser Boston},
2741
address = {Boston, MA},
2742
year = {1990},
2743
mrclass = {11R34 (11G05 11G40 11R29)},
2744
mrnumber = {92g:11109},
2745
mrreviewer = {Karl Rubin}
2746
}
2747
2748
@InProceedings{ kolyvagin:mordellweil,
2749
author = {Kolyvagin, V.\thinspace{}A.},
2750
title = {On the {M}ordell-{W}eil group and the {S}hafarevich-{T}ate
2751
group of modular elliptic curves},
2752
booktitle = {Proceedings of the International Congress of
2753
Mathematicians, Vol.\ I, II (Kyoto, 1990)},
2754
pages = {429--436},
2755
publisher = {Math. Soc. Japan},
2756
address = {Tokyo},
2757
year = {1991},
2758
mrclass = {11G40 (11G05 14G10)},
2759
mrnumber = {93c:11046},
2760
mrrevr = {John Jones}
2761
}
2762
2763
@Article{ kolyvagin:structure_of_selmer,
2764
author = {Kolyvagin, V. A.},
2765
title = {On the structure of {S}elmer groups},
2766
journal = {Math. Ann.},
2767
fjournal = {Mathematische Annalen},
2768
volume = {291},
2769
year = {1991},
2770
number = {2},
2771
pages = {253--259},
2772
issn = {0025-5831},
2773
coden = {MAANA},
2774
mrclass = {11G05 (11G40)},
2775
mrnumber = {93e:11073},
2776
mrreviewer = {Massimo Bertolini}
2777
}
2778
2779
@InCollection{ kolyvagin:structureofsha,
2780
author = {Kolyvagin, V.\thinspace{}A.},
2781
title = {On the structure of {S}hafarevich-{T}ate groups},
2782
booktitle = {Algebraic geometry (Chicago, IL, 1989)},
2783
pages = {94--121},
2784
publisher = {Springer},
2785
address = {Berlin},
2786
year = {1991}
2787
}
2788
2789
@Article{ kolyvagin:subclass,
2790
author = {Kolyvagin, V. A.},
2791
title = {Finiteness of ${E}({\bf {Q}})$ and {S}{H}$({E},{\bf {Q}})$
2792
for a subclass of {W}eil curves},
2793
journal = {Izv. Akad. Nauk SSSR Ser. Mat.},
2794
fjournal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
2795
volume = {52},
2796
year = {1988},
2797
number = {3},
2798
pages = {522--540, 670--671},
2799
issn = {0373-2436},
2800
mrclass = {11G05 (11G40 14G25 14K07)},
2801
mrnumber = {89m:11056},
2802
mrreviewer = {Reinhard B{\"o}lling}
2803
}
2804
2805
@Article{ kolyvagin:weil,
2806
author = {Kolyvagin, V. A.},
2807
title = {The {M}ordell-{W}eil and {S}hafarevich-{T}ate groups for
2808
{W}eil elliptic curves},
2809
journal = {Izv. Akad. Nauk SSSR Ser. Mat.},
2810
fjournal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
2811
volume = {52},
2812
year = {1988},
2813
number = {6},
2814
pages = {1154--1180, 1327},
2815
issn = {0373-2436},
2816
mrclass = {11G05 (11D41 11G40 14G25 14K07)},
2817
mrnumber = {90f:11035},
2818
mrreviewer = {Reinhard B{\"o}lling}
2819
}
2820
2821
@Article{ kramer:largesha,
2822
author = {Kramer, K.},
2823
title = {A family of semistable elliptic curves with large
2824
{T}ate-{S}hafarevitch groups},
2825
journal = {Proc. Amer. Math. Soc.},
2826
fjournal = {Proceedings of the American Mathematical Society},
2827
volume = {89},
2828
year = {1983},
2829
number = {3},
2830
pages = {379--386},
2831
issn = {0002-9939},
2832
coden = {PAMYAR},
2833
mrclass = {14K07 (11G05 14G25)},
2834
mrnumber = {85d:14059},
2835
mrreviewer = {Reinhard B{\"o}lling}
2836
}
2837
2838
@Book{ kubert-lang,
2839
author = {Kubert, D.\thinspace{}S. and Lang, S.},
2840
title = {Modular units},
2841
series = {Grundlehren der Mathematischen Wissenschaften [Fundamental
2842
Principles of Mathematical Science]},
2843
volume = {244},
2844
publisher = {Springer-Verlag},
2845
address = {New York},
2846
year = {1981},
2847
pages = {xiii+358},
2848
isbn = {0-387-90517-0},
2849
mrclass = {12A45 (10D05 14G25)},
2850
mrnumber = {84h:12009},
2851
mrreviewer = {Roland Gillard}
2852
}
2853
2854
@Article{lang-tate,
2855
author = {Lang, S. and Tate, J.},
2856
title = {Principal homogeneous spaces over abelian varieties},
2857
journal = {Amer. J. Math.},
2858
volume = {80},
2859
year = {1958},
2860
pages = {659--684}
2861
}
2862
2863
@Book{ lang:algebra,
2864
author = {Lang, S