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Author: William A. Stein
1
@incollection {eigencurve,
2
AUTHOR = {Coleman, R. and Mazur, B.},
3
TITLE = {The eigencurve},
4
BOOKTITLE = {Galois representations in arithmetic algebraic geometry
5
(Durham, 1996)},
6
PAGES = {1--113},
7
PUBLISHER = {Cambridge Univ. Press},
8
ADDRESS = {Cambridge},
9
YEAR = {1998},
10
MRCLASS = {11Fxx (11Gxx)},
11
MRNUMBER = {1 696 469},
12
}
13
14
15
16
17
@book {cassels-flynn,
18
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.
19
and Flynn, E.\thinspace{}V.},
20
TITLE = {Prolegomena to a middlebrow arithmetic of curves
21
of genus \protect{$2$}},
22
PUBLISHER = {Cambridge University Press},
23
ADDRESS = {Cambridge},
24
YEAR = {1996},
25
PAGES = {xiv+219},
26
ISBN = {0-521-48370-0},
27
MRCLASS = {11G30 (11Y50 14G25)},
28
MRNUMBER = {97i:11071},
29
MRREVR = {Joseph H. Silverman},
30
}
31
32
@book {neronmodels,
33
AUTHOR = {Bosch, S. and L{\"u}tkebohmert, W. and Raynaud, M.},
34
TITLE = {N\'eron models},
35
PUBLISHER = {Springer-Verlag},
36
ADDRESS = {Berlin},
37
YEAR = {1990},
38
PAGES = {x+325},
39
ISBN = {3-540-50587-3},
40
MRCLASS = {14K15 (11G10 14L15)},
41
MRNUMBER = {91i:14034},
42
MRREVR = {James Milne},
43
}
44
45
46
@article {hida:iwasawa,
47
AUTHOR = {Hida, H.},
48
TITLE = {Iwasawa modules attached to congruences of cusp forms},
49
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
50
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
51
Quatri\`eme S\'erie},
52
VOLUME = {19},
53
YEAR = {1986},
54
NUMBER = {2},
55
PAGES = {231--273},
56
ISSN = {0012-9593},
57
CODEN = {ASENAH},
58
MRCLASS = {11F33 (11G18 11R23)},
59
MRNUMBER = {88i:11023},
60
MRREVR = {Yasutaka Ihara},
61
}
62
63
64
65
@article {hida:invent86,
66
AUTHOR = {Hida, H.},
67
TITLE = {Galois representations into
68
\protect{${\rm {G}{L}}\sb 2({\bf {Z}}\sb
69
p[[{X}]])$} attached to ordinary cusp forms},
70
JOURNAL = {Invent. Math.},
71
FJOURNAL = {Inventiones Mathematicae},
72
VOLUME = {85},
73
YEAR = {1986},
74
NUMBER = {3},
75
PAGES = {545--613},
76
ISSN = {0020-9910},
77
CODEN = {INVMBH},
78
MRCLASS = {11F11 (11F33 11F85 11R23)},
79
MRNUMBER = {87k:11049},
80
MRREVR = {Ernst-Wilhelm Zink},
81
}
82
83
84
@incollection {elkies:heegner,
85
AUTHOR = {Elkies, N.\thinspace{}D.},
86
TITLE = {Heegner point computations},
87
BOOKTITLE = {Algorithmic number theory (Ithaca, NY, 1994)},
88
PAGES = {122--133},
89
PUBLISHER = {Springer},
90
ADDRESS = {Berlin},
91
YEAR = {1994},
92
}
93
@article {scholl:motivesinvent,
94
AUTHOR = {Scholl, A.\thinspace{}J.},
95
TITLE = {Motives for modular forms},
96
JOURNAL = {Invent. Math.},
97
FJOURNAL = {Inventiones Mathematicae},
98
VOLUME = {100},
99
YEAR = {1990},
100
NUMBER = {2},
101
PAGES = {419--430},
102
ISSN = {0020-9910},
103
CODEN = {INVMBH},
104
}
105
@incollection {scholl:kato,
106
author = {Scholl, A.\thinspace{}J.},
107
title = {An introduction to {K}ato's {E}uler systems},
108
booktitle = {Galois Representations in Arithmetic Algebraic Geometry},
109
pages = {379--460},
110
year = {1998},
111
publisher = {Cambridge University Press}
112
}
113
114
@proceedings {lms254,
115
title = {Galois Representations in Arithmetic Algebraic Geometry},
116
booktitle = {Galois Representations in Arithmetic Algebraic Geometry},
117
editor = {Scholl A.\thinspace{}J. and Taylor R.\thinspace{}L.},
118
pages = {493},
119
year = {1998},
120
publisher = {Cambridge University Press}
121
}
122
123
%qa1.h3
124
@article{artin:conjecture,
125
author = {Artin, E.},
126
title = {{\"U}ber eine neue {A}rt von {L}-Reihen},
127
journal={Abh. Math. Sem. in Univ. Hamburg},
128
volume ={3},
129
year ={1923 or 1924??? CHECK!},
130
pages ={89--108}
131
}
132
133
@article{artin:conjecture2,
134
author = {Artin, E},
135
title = {Zur {T}heorie der {L}-{R}eihen mit allgemeinen
136
{G}ruppencharakteren},
137
journal={Abh. math. Semin. Univ. Hamburg},
138
volume ={8},
139
year ={1930},
140
pages ={292--306}
141
}
142
143
@article{buzzard-stein:artin,
144
AUTHOR = {Buzzard, K. and Stein, W.\thinspace{}A.},
145
title = {Modularity of some icosahedral Galois representations},
146
journal = {in preparation}
147
}
148
149
@proceedings {MR98g:11001,
150
TITLE = {Computational perspectives on number theory},
151
BOOKTITLE = {Proceedings of the conference in honor of A. O. L. Atkin held
152
at the University of Illinois, Chicago, IL, September 1995},
153
EDITOR = {Buell, D. A. and Teitelbaum, J. T.},
154
PUBLISHER = {American Mathematical Society},
155
ADDRESS = {Providence, RI},
156
YEAR = {1998},
157
PAGES = {x+232},
158
ISBN = {0-8218-0880-X},
159
}
160
161
162
@proceedings {MR95j:11119,
163
TITLE = {Algorithmic number theory},
164
BOOKTITLE = {Proceedings of the First International Symposium (ANTS-I) held
165
at Cornell University, Ithaca, New York, May 6--9, 1994},
166
EDITOR = {Adleman, Leonard M. and Huang, Ming-Deh},
167
PUBLISHER = {Springer-Verlag},
168
ADDRESS = {Berlin},
169
YEAR = {1994},
170
PAGES = {x+323},
171
ISBN = {3-540-58691-1},
172
}
173
174
175
176
@incollection {elkies:ffield,
177
AUTHOR = {Elkies, N.\thinspace{}D.},
178
TITLE = {Elliptic and modular curves over finite fields and related
179
computational issues},
180
BOOKTITLE = {Computational perspectives on number theory (Chicago, IL,
181
1995)},
182
PAGES = {21--76},
183
PUBLISHER = {Amer. Math. Soc.},
184
ADDRESS = {Providence, RI},
185
YEAR = {1998},
186
}
187
188
189
190
@article {jones:thesis,
191
author = {Jones, D.\thinspace{}M.},
192
title = {On modular {G}alois representations in characteristic $3$},
193
year = {1998},
194
journal = {U.\thinspace{}C. Berkeley Ph.D. thesis}
195
}
196
197
@article {agashe:manin,
198
AUTHOR = {Agash\'{e}, A.},
199
TITLE = {On the generalized Manin constant for quotients
200
of \protect{$J_0(N)$}},
201
journal = {in preparation}
202
}
203
204
@article {ash-stevens,
205
AUTHOR = {Ash, A. and Stevens, G.},
206
TITLE = {Cohomology of arithmetic groups and congruences between systems
207
of {H}ecke eigenvalues},
208
JOURNAL = {J. Reine Angew. Math.},
209
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
210
VOLUME = {365},
211
YEAR = {1986},
212
PAGES = {192--220},
213
ISSN = {0075-4102},
214
CODEN = {JRMAA8},
215
}
216
217
@article {buzzard:level,
218
author = {Buzzard, K.},
219
title = {On {L}evel lowering for mod 2 representations},
220
journal= {in preparation}
221
}
222
223
224
@article {RAMA,
225
author = {Ramakrishna, R.},
226
title = {Lifting Galois representations},
227
journal = {preprint}
228
}
229
230
@article {SBTAYLOR,
231
AUTHOR = {Shepherd-Barron, N. I. and Taylor, R.},
232
TITLE = {Mod 2 and mod 5 icosahedral representations},
233
JOURNAL = {J. Amer. Math. Soc.},
234
FJOURNAL = {Journal of the American Mathematical Society},
235
VOLUME = {10},
236
YEAR = {1997},
237
NUMBER = {2},
238
PAGES = {283--298},
239
ISSN = {0894-0347},
240
}
241
242
@article {DOUD,
243
AUTHOR = {Doud, D.},
244
TITLE = {\protect{${S}\sb 4$} and \protect{$\tilde {S}{}\sb 4$}
245
extensions of \protect{${\bf {Q}}$}
246
ramified at only one prime},
247
JOURNAL = {J. Number Theory},
248
FJOURNAL = {Journal of Number Theory},
249
VOLUME = {75},
250
YEAR = {1999},
251
NUMBER = {2},
252
PAGES = {185--197},
253
ISSN = {0022-314X},
254
CODEN = {JNUTA9},
255
}
256
257
258
@proceedings {MR90b:11003,
259
TITLE = {Number theory},
260
BOOKTITLE = {Proceedings of the Fifteenth Journ\'ees Arithm\'etiques held at
261
the University of Ulm, Ulm, September 14--18, 1987},
262
EDITOR = {Schlickewei, H. P. and Wirsing, E.},
263
PUBLISHER = {Springer-Verlag},
264
ADDRESS = {New York},
265
YEAR = {1989},
266
PAGES = {vi+266},
267
ISBN = {0-387-51397-3},
268
}
269
270
@incollection {FREYTWO,
271
AUTHOR = {Frey, G.},
272
TITLE = {Links between solutions of
273
\protect{${A}-{B}={C}$} and elliptic curves},
274
BOOKTITLE = {Number theory (Ulm, 1987)},
275
PAGES = {31--62},
276
PUBLISHER = {Springer},
277
ADDRESS = {New York},
278
YEAR = {1989},
279
}
280
@article {FREYONE,
281
AUTHOR = {Frey, G.},
282
TITLE = {Links between stable elliptic curves and
283
certain {D}iophantine \protect{\nobreak{equations}}},
284
JOURNAL = {Ann. Univ. Sarav. Ser. Math.},
285
FJOURNAL = {Annales Universitatis Saraviensis. Series Mathematicae},
286
VOLUME = {1},
287
YEAR = {1986},
288
NUMBER = {1},
289
PAGES = {iv+40},
290
}
291
292
293
@article {fujiwara,
294
author = {Fujiwara, K.},
295
title = {Level optimization in the totally real case},
296
journal= {in preparation},
297
year = {1999}
298
}
299
300
@article {jarvis:mazur,
301
AUTHOR = {Jarvis, F.},
302
TITLE = {Mazur's principle for totally real fields of odd degree},
303
JOURNAL = {Compositio Math.},
304
FJOURNAL = {Compositio Mathematica},
305
VOLUME = {116},
306
YEAR = {1999},
307
NUMBER = {1},
308
PAGES = {39--79},
309
ISSN = {0010-437X},
310
CODEN = {CMPMAF},
311
}
312
@article {jarvis:level,
313
AUTHOR = {Jarvis, F.},
314
TITLE = {Level lowering for modular mod \protect{$\ell$}
315
representations over totally real fields\-},
316
JOURNAL = {Math. Ann.},
317
FJOURNAL = {Mathematische Annalen},
318
VOLUME = {313},
319
YEAR = {1999},
320
NUMBER = {1},
321
PAGES = {141--160},
322
ISSN = {0025-5831},
323
CODEN = {MAANA},
324
}
325
@article {jarvis:hilbert,
326
AUTHOR = {Jarvis, F.},
327
TITLE = {On \protect{G}alois representations
328
associated to \protect{H}ilbert modular
329
forms},
330
JOURNAL = {J. Reine Angew. Math.},
331
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
332
VOLUME = {491},
333
YEAR = {1997},
334
PAGES = {199--216},
335
ISSN = {0075-4102},
336
CODEN = {JRMAA8},
337
}
338
339
340
@article {JPS,
341
AUTHOR = {Serre, J-P.},
342
TITLE = {Congruences et formes modulaires [d'apr\`es
343
{H}.\thinspace{}{P}.\thinspace{}{F}.\
344
{S}winnerton-{D}yer]},
345
BOOKTITLE = {S\'eminaire Bourbaki, 24e ann\'ee (1971/1972), Exp. No. 416},
346
PAGES = {319--338. Lecture Notes in Math., Vol. 317},
347
PUBLISHER = {Springer},
348
ADDRESS = {Berlin},
349
YEAR = {1973},
350
}
351
352
353
@article{agashe,
354
AUTHOR = {Agash\'{e}, A.},
355
TITLE = {On invisible elements of the {T}ate-{S}hafarevich group},
356
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
357
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
358
Math\'ematique},
359
VOLUME = {328},
360
YEAR = {1999},
361
NUMBER = {5},
362
PAGES = {369--374},
363
ISSN = {0764-4442},
364
CODEN = {CASMEI},
365
MRCLASS = {11Gxx},
366
MRNUMBER = {1 678 131},
367
}
368
369
370
@incollection {bloch-kato,
371
AUTHOR = {Bloch, S. and Kato, K.},
372
TITLE = {\protect{${L}$}-functions and
373
\protect{T}amagawa numbers of motives},
374
BOOKTITLE = {The Grothendieck Festschrift, Vol. \protect{I}},
375
PAGES = {333--400},
376
PUBLISHER = {Birkh\"auser Boston},
377
ADDRESS = {Boston, MA},
378
YEAR = {1990},
379
}
380
381
@book {MR91h:00035,
382
TITLE = {The \protect{G}rothendieck
383
\protect{F}estschrift. \protect{V}ol. \protect{I}},
384
EDITOR = {Cartier, P. and Illusie, L. and Katz, N.\thinspace{}M.
385
and Laumon, G. and Manin, Yu. and Ribet, K.\thinspace{}A.},
386
NOTE = {A collection of articles written in honor of the 60th birthday
387
of Alexander Grothendieck},
388
PUBLISHER = {Birkh\"auser Boston Inc.},
389
ADDRESS = {Boston, MA},
390
YEAR = {1990},
391
PAGES = {xx+498},
392
ISBN = {0-8176-3427-4},
393
}
394
395
@book {antwerpiv,
396
TITLE = {Modular functions of one variable. {I}{V}},
397
BOOKTITLE = {Proceedings of the International Summer School on Modular
398
Functions of One Variable and Arithmetical Applications, RUCA,
399
University of Antwerp, Antwerp, July 17--August 3, 1972},
400
EDITOR = {Birch, B.\thinspace{}J. and Kuyk, W.},
401
NOTE = {Lecture Notes in Mathematics, Vol. 476},
402
PUBLISHER = {Springer-Verlag},
403
ADDRESS = {Berlin},
404
YEAR = {1975},
405
PAGES = {iv+151},
406
}
407
408
@incollection{birch:bsd,
409
AUTHOR = {Birch, B.\thinspace{}J.},
410
TITLE = {Elliptic curves over \protect{${\mathbf{Q}}$: {A}} progress report},
411
BOOKTITLE = {1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol.
412
XX, State Univ. New York, Stony Brook, N.Y., 1969)},
413
PAGES = {396--400},
414
PUBLISHER = {Amer. Math. Soc.},
415
ADDRESS = {Providence, R.I.},
416
YEAR = {1971}
417
}
418
419
@article {boston-lenstra-ribet,
420
AUTHOR = {N. Boston and \protect{H.\thinspace{}W. Lenstra, Jr.}
421
and K.\thinspace{}A. Ribet},
422
TITLE = {Quotients of group rings arising from two-dimensional
423
representations},
424
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
425
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
426
Math\'ematique},
427
VOLUME = {312},
428
YEAR = {1991},
429
NUMBER = {4},
430
PAGES = {323--328},
431
ISSN = {0764-4442},
432
CODEN = {CASMEI},
433
}
434
435
@book{buhler:thesis,
436
AUTHOR = {Buhler, J.\thinspace{}P.},
437
TITLE = {Icosahedral \protect{G}alois representations},
438
NOTE = {Lecture Notes in Mathematics, Vol. 654},
439
PUBLISHER = {Springer-Verlag},
440
ADDRESS = {Berlin},
441
YEAR = {1978},
442
PAGES = {ii+143},
443
ISBN = {3-540-08844-X},
444
}
445
446
@article{atkin-lehner,
447
AUTHOR = {Atkin, A.\thinspace{}O.\thinspace{}L. and Lehner, J.},
448
TITLE = {Hecke operators on \protect{$\Gamma \sb{0}(m)$}},
449
JOURNAL = {Math. Ann.},
450
VOLUME = {185},
451
YEAR = {1970},
452
PAGES = {134--160},
453
}
454
455
@article{galbraith,
456
author = {Galbraith, S.\thinspace{}D.},
457
title = {Equations for modular curves},
458
Year = {1996},
459
journal = {Oxford Ph.D. thesis},
460
pages = {91 pp.}
461
}
462
463
@article{BRUE,
464
author = {Brueggeman, S.},
465
title = {The non-existence of certain \protect{Galois} extensions
466
unramified outside 5},
467
journal = {Journal of Number Theory},
468
volume = {75},
469
year = {1999},
470
pages = {47--52}
471
}
472
473
@article{brumer:rank,
474
AUTHOR = {Brumer, A.},
475
TITLE = {The rank of \protect{${J}\sb 0({N})$}},
476
NOTE = {Columbia University Number Theory Seminar (New York, 1992)},
477
JOURNAL = {Ast\'erisque},
478
FJOURNAL = {Ast\'erisque},
479
NUMBER = {228},
480
YEAR = {1995},
481
PAGES = {3, 41--68},
482
ISSN = {0303-1179},
483
}
484
485
@article {cassels:arithmeticIV,
486
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
487
TITLE = {Arithmetic on curves of genus \protect{$1$}. {I}{V}.
488
{P}roof of the {H}auptvermutung},
489
JOURNAL = {J. Reine Angew. Math.},
490
VOLUME = {211},
491
YEAR = {1962},
492
PAGES = {95--112},
493
}
494
495
@article {cassels:arithmeticV,
496
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
497
TITLE = {Arithmetic on curves of genus 1. {V}. {T}wo counterexamples},
498
JOURNAL = {J. London Math. Soc.},
499
VOLUME = {38},
500
YEAR = {1963},
501
PAGES = {244--248},
502
}
503
504
@article {cassels:diophantinecurve,
505
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
506
TITLE = {Diophantine equations with special reference to elliptic
507
curves},
508
JOURNAL = {J. London Math. Soc.},
509
VOLUME = {41},
510
YEAR = {1966},
511
PAGES = {193--291},
512
}
513
514
@incollection {cassels:global,
515
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
516
TITLE = {Global fields},
517
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
518
1965)},
519
PAGES = {42--84},
520
PUBLISHER = {Thompson, Washington, D.C.},
521
YEAR = {1967},
522
}
523
524
@article{CAREARLY,
525
author="Carayol, H.",
526
title={Sur les \protect{repr\'esentations}
527
\protect{$\ell$-adiques} \protect{associ\'ees}
528
aux formes modulaires de \protect{Hilbert}},
529
journal={Ann. scient. \protect{\'Ec.} Norm. Sup.,
530
\protect{$4^{\rm eb}$ s\'erie}},
531
volume={19},
532
year={1986},
533
pages={409--468}
534
}
535
536
@article{carayol:modell,
537
author={Carayol, H.},
538
title={Sur les \protect{repr\'esentations} galoisiennes
539
modulo \protect{$\ell$ attach\'ees} aux formes modulaires},
540
journal={Duke Math. J.},
541
volume={59},
542
year ={1989},
543
pages ={785--801}
544
}
545
546
@article{coleman:monodromy,
547
author = {Coleman, R.},
548
title = {The monodromy pairing},
549
journal = {Asian Math. Journal},
550
year = {1999}
551
}
552
553
@article{cremona:onlinetables,
554
author = {Cremona, J.\thinspace{}E.},
555
title = {Elliptic curves of conductor \protect{$\leq 5300$},\hfill\\
556
{\tt http://www.maths.nott.ac.uk/personal/jec/ftp/data/}}
557
}
558
559
@book{cremona:algs,
560
AUTHOR = {Cremona, J.\thinspace{}E.},
561
TITLE = {Algorithms for modular elliptic curves},
562
EDITION = {Second},
563
PUBLISHER = {Cambridge University Press},
564
ADDRESS = {Cambridge},
565
YEAR = {1997},
566
PAGES = {vi+376},
567
ISBN = {0-521-59820-6},
568
}
569
570
571
@article {cremona:periods,
572
AUTHOR = {Cremona, J.\thinspace{}E.},
573
TITLE = {Computing periods of cusp forms and modular elliptic curves},
574
JOURNAL = {Experiment. Math.},
575
FJOURNAL = {Experimental Mathematics},
576
VOLUME = {6},
577
YEAR = {1997},
578
NUMBER = {2},
579
PAGES = {97--107},
580
ISSN = {1058-6458},
581
}
582
583
@article {gouvea:ordinary,
584
AUTHOR = {Gouv\^ea, F.\thinspace{}Q.},
585
TITLE = {On the ordinary {H}ecke algebra},
586
JOURNAL = {J. Number Theory},
587
FJOURNAL = {Journal of Number Theory},
588
VOLUME = {41},
589
YEAR = {1992},
590
NUMBER = {2},
591
PAGES = {178--198},
592
ISSN = {0022-314X},
593
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599
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664
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723
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% MR52:284,
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754
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788
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789
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803
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825
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826
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827
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@incollection {rosen:abvars,
869
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870
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871
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965
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1065
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1066
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1067
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@article {edixhoven:weight,
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1088
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1177
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1178
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1179
JOURNAL = {Invent. Math.},
1180
FJOURNAL = {Inventiones Mathematicae},
1181
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1182
YEAR = {1983},
1183
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1184
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1185
ISSN = {0020-9910},
1186
CODEN = {INVMBH},
1187
}
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1189
1190
1191
@article{empirical,
1192
AUTHOR = {Flynn, E.\thinspace{}V. and \protect{Lepr\'{e}vost}, F.
1193
and Schaefer, E.\thinspace{}F. and Stein, W.\thinspace{}A.
1194
and Stoll, M. and Wetherell, J.\thinspace{}L.},
1195
TITLE = {Empirical evidence for the \protect{B}irch and
1196
\protect{S}winnerton-\protect{D}yer
1197
conjectures for modular \protect{J}acobians of
1198
genus 2 curves},
1199
YEAR = {1999},
1200
JOURNAL = {submitted}
1201
}
1202
1203
@inproceedings{frey:boston,
1204
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1205
TITLE = {On ternary equations of \protect{F}ermat type and relations with
1206
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1207
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1208
PAGES = {527--548},
1209
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1210
ADDRESS = {New York},
1211
YEAR = {1997},
1212
crossref="boston"
1213
}
1214
1215
1216
1217
@incollection{frey-muller,
1218
AUTHOR = {Frey, G. and M{\"u}ller, M.},
1219
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1220
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1221
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1222
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1223
ADDRESS = {Berlin},
1224
YEAR = {1999}
1225
}
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1227
1228
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1229
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1230
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1231
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1232
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1233
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1234
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1235
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1236
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1237
1238
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1239
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1240
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1241
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1242
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1243
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1244
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1245
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1246
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1247
1248
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1249
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1250
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1251
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1252
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1253
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1254
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1255
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1256
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1257
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1258
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1259
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1261
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1262
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1263
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1264
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1265
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1266
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1267
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1268
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1270
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1271
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1272
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1273
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1274
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1275
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1276
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1277
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1278
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1279
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1280
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1281
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1282
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1283
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1284
1285
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1286
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1287
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1288
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1289
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1290
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1291
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1292
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1293
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1294
1295
1296
1297
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1298
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1299
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1300
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1302
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1303
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1304
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1307
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1308
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1309
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1310
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1311
1312
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1313
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1314
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1315
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1316
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1317
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1318
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1319
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1320
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1322
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1325
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1328
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1329
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1330
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1331
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1332
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1333
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1337
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1340
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1341
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1342
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1350
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1351
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1352
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1353
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1355
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1365
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1368
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1372
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1373
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1374
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1375
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1379
TITLE = {Uniformization of algebraic curves by discrete arithmetic
1380
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1381
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1382
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1383
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1384
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1385
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1387
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1389
@article {magma,
1390
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1392
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1393
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1395
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1405
@article{koike:conjtwist,
1406
author="Koike, M.",
1407
title="On certain abelian varieties obtained from new forms of
1408
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1409
journal={Nogoya Math. J.},
1410
volume={62},
1411
year={1976},
1412
pages={29--39}
1413
}
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1415
@incollection {kolyvagin:structureofsha,
1416
AUTHOR = {Kolyvagin, V.\thinspace{}A.},
1417
TITLE = {On the structure of {S}hafarevich-{T}ate groups},
1418
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1419
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1421
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1423
}
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1430
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1431
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1432
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1433
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1434
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1435
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1436
YEAR = {1991},
1437
PAGES = {viii+300},
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1439
}
1440
1441
1442
@article{kolyvagin-logachev:totallyreal,
1443
author = "Kolyvagin, V.\thinspace{}A. and Logachev, D.\thinspace{}Y.",
1444
title = "Finiteness of \protect{$\Sha$} over totally real fields",
1445
journal={Math. USSR Izvestiya},
1446
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1447
year = {1992},
1448
number = {1},
1449
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1450
}
1451
1452
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1453
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1454
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1455
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1456
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1457
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1463
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1465
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1466
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1467
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1486
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1487
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1488
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1489
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1491
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1493
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1494
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1495
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1498
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1499
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1500
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1501
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1502
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1503
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1504
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1508
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1510
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1512
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1513
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1514
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1515
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1517
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1518
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1520
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1521
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1525
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1526
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1527
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1528
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1529
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1530
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1531
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1532
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1533
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1534
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1535
1536
@book {lang:modular,
1537
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1538
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1539
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1540
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1541
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1546
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1552
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1567
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1568
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1570
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1573
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1576
1577
@article {manin:parabolic,
1578
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1579
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1580
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1581
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1583
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1587
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1591
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1592
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1593
TITLE = {The work of {K}olyvagin on the arithmetic of elliptic curves},
1594
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1595
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1597
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1598
YEAR = {1989},
1599
}
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1602
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1603
TITLE = {Tate-{S}hafarevich groups and ${L}$-functions of elliptic
1604
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1605
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1619
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1620
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1621
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1626
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1627
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1630
1631
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1632
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1633
title="Visualizing elements of order three
1634
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1635
year={1999},
1636
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1637
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1639
@ARTICLE{mazur:eisenstein,
1640
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1641
TITLE = {Modular curves and the \protect{Eisenstein} ideal},
1642
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1648
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1649
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1650
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1652
@article{mazur:tower,
1653
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1654
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1655
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1656
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1657
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1665
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@article{mazur:arizona,
1679
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1680
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1682
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1684
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1689
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1706
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1729
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1730
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1731
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1733
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1741
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1742
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1749
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BOOKTITLE = {Proceedings of the seminar held at the City University of New
1752
York, New York, 1984--1985},
1753
EDITOR = {Chudnovsky, D.\thinspace{}V. and
1754
Chudnovsky, G.\thinspace{}V.
1755
and Cohn, H. and
1756
Nathanson, M.\thinspace{}B.},
1757
PUBLISHER = {Springer-Verlag},
1758
ADDRESS = {Berlin},
1759
YEAR = {1987},
1760
PAGES = {vi+324},
1761
ISBN = {3-540-17669-1},
1762
}
1763
1764
@book {MR99f:00041,
1765
TITLE = {S\'eminaire {B}ourbaki. {V}ol. 9},
1766
NOTE = {Ann\'ees 1964/65-1965/66. [Years 1964/65-1965/66],
1767
Expos\'es 277--312,
1768
Reprint of the edition published by W. A. Benjamin, New
1769
York-Amsterdam, 1966 [MR {\bf 33} \#5420l; MR {\bf 34} \#5605]},
1770
PUBLISHER = {Soci\'et\'e Math\'ematique de France},
1771
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1772
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1773
PAGES = {iv+531},
1774
ISBN = {2-85629-042-6},
1775
}
1776
1777
@incollection {tate:bsd,
1778
AUTHOR = {Tate, J.},
1779
TITLE = {On the conjectures of {B}irch and {S}winnerton-{D}yer and a
1780
geometric analog},
1781
BOOKTITLE = {S\'eminaire Bourbaki, Vol.\ 9},
1782
PAGES = {Exp.\ No.\ 306, 415--440},
1783
PUBLISHER = {Soc. Math. France},
1784
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1785
YEAR = {1995},
1786
}
1787
1788
1789
1790
@book {mumford:geometric,
1791
AUTHOR = {Mumford, D. and Fogarty, J. and Kirwan, F.},
1792
TITLE = {Geometric invariant theory},
1793
EDITION = {Third},
1794
PUBLISHER = {Springer-Verlag},
1795
ADDRESS = {Berlin},
1796
YEAR = {1994},
1797
PAGES = {xiv+292},
1798
ISBN = {3-540-56963-4},
1799
}
1800
1801
@inproceedings {queen,
1802
AUTHOR = {Queen, C.},
1803
TITLE = {The existence of \protect{$p$}-adic
1804
\protect{A}belian
1805
\protect{${L}$}-functions},
1806
BOOKTITLE = {Number theory and algebra},
1807
PAGES = {263--288},
1808
PUBLISHER = {Academic Press},
1809
ADDRESS = {New York},
1810
YEAR = {1977},
1811
}
1812
1813
@book {MR56:11675,
1814
TITLE = {Number theory and algebra},
1815
EDITOR = {Zassenhaus, H.},
1816
NOTE = {Collected papers dedicated to Henry B. Mann, Arnold E. Ross,
1817
and Olga Taussky-Todd},
1818
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
1819
ADDRESS = {New York},
1820
YEAR = {1977},
1821
PAGES = {x1vi+393},
1822
ISBN = {0-12-776350-3.},
1823
}
1824
1825
@article {ribet:galoissurvey,
1826
AUTHOR = {Ribet, K.\thinspace{}A.},
1827
TITLE = {Galois representations and modular forms},
1828
JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
1829
FJOURNAL = {American Mathematical Society. Bulletin. New Series},
1830
VOLUME = {32},
1831
YEAR = {1995},
1832
NUMBER = {4},
1833
PAGES = {375--402},
1834
ISSN = {0273-0979},
1835
CODEN = {BAMOAD},
1836
}
1837
1838
@book {MR90j:11004,
1839
TITLE = {S\'eminaire de {T}h\'eorie des {N}ombres, {P}aris 1987--88},
1840
EDITOR = {Goldstein, Catherine},
1841
NOTE = {Papers from the seminar held in Paris, 1987--88},
1842
PUBLISHER = {Birkh\"auser Boston Inc.},
1843
ADDRESS = {Boston, MA},
1844
YEAR = {1990},
1845
PAGES = {viii+350},
1846
ISBN = {0-8176-3458-4},
1847
}
1848
1849
@incollection {ribet:raising,
1850
AUTHOR = {Ribet, K.\thinspace{}A.},
1851
TITLE = {Raising the levels of modular representations},
1852
BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, Paris 1987--88},
1853
PAGES = {259--271},
1854
PUBLISHER = {Birkh\"auser Boston},
1855
ADDRESS = {Boston, MA},
1856
YEAR = {1990},
1857
}
1858
1859
@inproceedings {ribet:galoisattached,
1860
AUTHOR = {Ribet, K.\thinspace{}A.},
1861
TITLE = {Galois representations attached to eigenforms with
1862
\protect{N}ebentypus},
1863
BOOKTITLE = {Modular functions of one variable, V (Proc. Second Internat.
1864
Conf., Univ. Bonn, Bonn, 1976)},
1865
PAGES = {17--51. Lecture Notes in Math., Vol. 601},
1866
PUBLISHER = {Springer},
1867
ADDRESS = {Berlin},
1868
YEAR = {1977},
1869
}
1870
1871
@article {katz:annals75,
1872
AUTHOR = {Katz, N.\thinspace{}M.},
1873
TITLE = {Higher congruences between modular forms},
1874
JOURNAL = {Ann. of Math. (2)},
1875
VOLUME = {101},
1876
YEAR = {1975},
1877
PAGES = {332--367},
1878
MRCLASS = {10D05 (14K15)},
1879
MRNUMBER = {54 #5120},
1880
MRREVR = {Neal Koblitz},
1881
}
1882
1883
@inproceedings {katz:antwerp350,
1884
AUTHOR = {Katz, N.\thinspace{}M.},
1885
TITLE = {$p$-adic properties of modular schemes and modular forms},
1886
BOOKTITLE = {Modular functions of one variable, III (Proc. Internat. Summer
1887
School, Univ. Antwerp, Antwerp, 1972)},
1888
PAGES = {69--190. Lecture Notes in Mathematics, Vol. 350},
1889
PUBLISHER = {Springer},
1890
ADDRESS = {Berlin},
1891
YEAR = {1973},
1892
}
1893
1894
@inproceedings {KATZBONN,
1895
AUTHOR = {Katz, N.\thinspace{}M.},
1896
TITLE = {A result on modular forms in characteristic $p$},
1897
BOOKTITLE = {Modular functions of one variable, V (Proc. Second Internat.
1898
Conf., Univ. Bonn, Bonn, 1976)},
1899
PAGES = {53--61. Lecture Notes in Math., Vol. 601},
1900
PUBLISHER = {Springer},
1901
ADDRESS = {Berlin},
1902
YEAR = {1977}
1903
}
1904
1905
1906
1907
1908
@article {pizer:alg,
1909
AUTHOR = {Pizer, A.},
1910
TITLE = {An algorithm for computing modular forms on
1911
\protect{$\Gamma\sb{0}({N})$}},
1912
JOURNAL = {J. Algebra},
1913
FJOURNAL = {Journal of Algebra},
1914
VOLUME = {64},
1915
YEAR = {1980},
1916
NUMBER = {2},
1917
PAGES = {340--390},
1918
ISSN = {0021-8693},
1919
CODEN = {JALGA4},
1920
}
1921
1922
@article {pizer:arithmetic,
1923
AUTHOR = {Pizer, A.},
1924
TITLE = {On the arithmetic of quaternion algebras},
1925
JOURNAL = {Acta Arith.},
1926
VOLUME = {31},
1927
YEAR = {1976},
1928
NUMBER = {1},
1929
PAGES = {61--89},
1930
}
1931
1932
@article {pizer:arithmetictwo,
1933
AUTHOR = {Pizer, A.},
1934
TITLE = {On the arithmetic of quaternion algebras. \protect{II}},
1935
JOURNAL = {J. Math. Soc. Japan},
1936
VOLUME = {28},
1937
YEAR = {1976},
1938
NUMBER = {4},
1939
PAGES = {676--688},
1940
}
1941
1942
1943
@article {pizer:rep,
1944
AUTHOR = {Pizer, A.},
1945
TITLE = {The representability of modular forms by theta series},
1946
JOURNAL = {J. Math. Soc. Japan},
1947
VOLUME = {28},
1948
YEAR = {1976},
1949
NUMBER = {4},
1950
PAGES = {689--698},
1951
}
1952
1953
@book {slnm601,
1954
TITLE = {Modular functions of one variable. \protect{V}},
1955
BOOKTITLE = {Proceedings of the Second International Conference, held at the
1956
University of Bonn, Bonn, July 2--14, 1976},
1957
NOTE = {Edited by J-P. Serre and D. B. Zagier,
1958
Lecture Notes in Mathematics, Vol. 601},
1959
PUBLISHER = {Springer-Verlag},
1960
ADDRESS = {Berlin},
1961
YEAR = {1977},
1962
PAGES = {i+294},
1963
}
1964
1965
1966
@article {mestre-oesterle:crelle,
1967
AUTHOR = {Mestre, J.-F. and Oesterl{\'e}, J.},
1968
TITLE = {Courbes de {W}eil semi-stables de discriminant une puissance
1969
\protect{$m$}-i\`eme},
1970
JOURNAL = {J. Reine Angew. Math.},
1971
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
1972
VOLUME = {400},
1973
YEAR = {1989},
1974
PAGES = {173--184},
1975
ISSN = {0075-4102},
1976
CODEN = {JRMAA8},
1977
MRCLASS = {11G18 (11F70 11G05 14G25 14K07)},
1978
MRNUMBER = {90g:11078},
1979
MRREVR = {Noriko Yui},
1980
}
1981
1982
@article{ribet:mestreletter,
1983
author = {Ribet, K.\thinspace{}A.},
1984
title = {Letter to \protect{M}estre},
1985
year = {November, 1987}
1986
}
1987
1988
1989
@proceedings {MR88c:14001,
1990
TITLE = {Current trends in arithmetical algebraic geometry},
1991
BOOKTITLE = {Proceedings of the AMS-IMS-SIAM joint summer research
1992
conference held at Humboldt State University, Arcata, Calif.,
1993
August 18--24, 1985},
1994
EDITOR = {Ribet, Kenneth A.},
1995
PUBLISHER = {American Mathematical Society},
1996
ADDRESS = {Providence, R.I.},
1997
YEAR = {1987},
1998
PAGES = {x+293},
1999
ISBN = {0-8218-5070-1},
2000
}
2001
2002
@incollection {SERRE:ARCATA,
2003
AUTHOR = {Serre, J-P.},
2004
TITLE = {Lettre \`a {J}.-{F}. {M}estre},
2005
BOOKTITLE = {Current trends in arithmetical algebraic geometry (Arcata,
2006
Calif., 1985)},
2007
PAGES = {263--268},
2008
PUBLISHER = {Amer. Math. Soc.},
2009
ADDRESS = {Providence, RI},
2010
YEAR = {1987},
2011
}
2012
2013
@article{ribet:lowering,
2014
author={Ribet, K.\thinspace{}A.},
2015
title = {Lowering the levels of modular representations
2016
without multiplicity one},
2017
journal={International Mathematics Research Notices},
2018
year={1991},
2019
pages={15--19}
2020
}
2021
2022
@article {ribet:modreps,
2023
AUTHOR = {Ribet, K.\thinspace{}A.},
2024
TITLE = {On modular representations of
2025
\protect{${\rm {G}al}(\overline{\bf{Q}}/{\bf {Q}})$}
2026
arising from modular forms},
2027
JOURNAL = {Invent. Math.},
2028
FJOURNAL = {Inventiones Mathematicae},
2029
VOLUME = {100},
2030
YEAR = {1990},
2031
NUMBER = {2},
2032
PAGES = {431--476},
2033
ISSN = {0020-9910},
2034
CODEN = {INVMBH},
2035
}
2036
2037
2038
2039
@incollection {ribet:report,
2040
AUTHOR = {Ribet, K.\thinspace{}A.},
2041
TITLE = {Report on mod \protect{$\ell$} representations of
2042
\protect{${\rm {G}al}(\overline{\bf{Q}}/{\bf {Q}})$}},
2043
BOOKTITLE = {Motives (Seattle, WA, 1991)},
2044
PAGES = {639--676},
2045
PUBLISHER = {Amer. Math. Soc.},
2046
ADDRESS = {Providence, RI},
2047
YEAR = {1994},
2048
}
2049
2050
2051
@book {schilling,
2052
TITLE = {Arithmetical algebraic geometry. (\protect{P}roceedings of a
2053
\protect{C}onference held at \protect{P}urdue
2054
\protect{U}niversity, \protect{D}ecember 5--7,
2055
1963)},
2056
EDITOR = {Schilling, O.\thinspace{}F.\thinspace{}G.},
2057
PUBLISHER = {Harper \& Row Publishers},
2058
ADDRESS = {New York},
2059
YEAR = {1965},
2060
PAGES = {vii+200},
2061
}
2062
2063
@article{ribet:toulouse,
2064
author={Ribet, K.\thinspace{}A.},
2065
TITLE = {From the \protect{T}aniyama-\protect{S}himura
2066
conjecture to \protect{F}ermat's last theorem},
2067
JOURNAL = {Ann. Fac. Sci. Toulouse Math. (5)},
2068
FJOURNAL = {Toulouse. Facult\'e des Sciences. Annales. Math\'ematiques.
2069
S\'erie 5},
2070
VOLUME = {11},
2071
YEAR = {1990},
2072
NUMBER = {1},
2073
PAGES = {116--139},
2074
ISSN = {0240-2955},
2075
}
2076
2077
@article {HPF,
2078
AUTHOR = {Swinnerton-Dyer, H.\thinspace{}P.\thinspace{}F.},
2079
TITLE = {On $\ell$-adic representations and congruences for coefficients of
2080
modular forms},
2081
BOOKTITLE = {Modular functions of one variable, III (Proc. Internat. Summer
2082
School, Univ. Antwerp, 1972)},
2083
PAGES = {1--55. Lecture Notes in Math., Vol. 350},
2084
PUBLISHER = {Springer},
2085
ADDRESS = {Berlin},
2086
YEAR = {1973},
2087
}
2088
2089
@article{SERRETAU,
2090
author = {Serre, J-P.},
2091
title = {Une \protect{interpr\'etation}
2092
des congruences relatives \protect{\`a}
2093
la fonction \protect{$\tau$} de {R}amanujan},
2094
journal = {\protect{S\'eminaire Delange-Pisot-Poitou}},
2095
year = {1967--68},
2096
volume = {\protect{$n^o$} 14},
2097
note = {English translation:
2098
\protect{\tt http://www.rzuser.uni-heidelberg.de/uhb3/Trans.html}}
2099
}
2100
2101
@incollection {gruenberg,
2102
AUTHOR = {Gruenberg, K.},
2103
TITLE = {Profinite groups},
2104
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
2105
1965)},
2106
PAGES = {116--127},
2107
PUBLISHER = {Thompson, Washington, D.C.},
2108
YEAR = {1967},
2109
}
2110
2111
@book {MR35:6500,
2112
TITLE = {Algebraic number theory},
2113
BOOKTITLE = {Proceedings of an instructional conference organized by the
2114
London Mathematical Society (a NATO Advanced Study Institute)
2115
with the support of the Inter national Mathematical Union.
2116
Edited by J. W. S. Cassels and A. Fr\"ohlich},
2117
PUBLISHER = {Academic Press},
2118
ADDRESS = {London},
2119
YEAR = {1967},
2120
PAGES = {xviii+366},
2121
}
2122
2123
@book {serre:gc,
2124
AUTHOR = {Serre, J-P.},
2125
TITLE = {Galois cohomology},
2126
NOTE = {Translated from the French by Patrick Ion and revised by the
2127
author},
2128
PUBLISHER = {Springer-Verlag},
2129
ADDRESS = {Berlin},
2130
YEAR = {1997},
2131
PAGES = {x+210},
2132
ISBN = {3-540-61990-9},
2133
}
2134
2135
@book {serre:ladic,
2136
AUTHOR = {Serre, J-P.},
2137
TITLE = {Abelian \protect{$\ell$}-adic representations and elliptic curves},
2138
NOTE = {With the collaboration of Willem Kuyk and John Labute,
2139
Revised reprint of the 1968 original},
2140
PUBLISHER = {A\thinspace{}K Peters Ltd.},
2141
ADDRESS = {Wellesley, MA},
2142
YEAR = {1998},
2143
PAGES = {199},
2144
ISBN = {1-56881-077-6},
2145
}
2146
2147
2148
@book {serre:linear,
2149
AUTHOR = {Serre, J-P.},
2150
TITLE = {Linear representations of finite groups},
2151
NOTE = {Translated from the second French edition by Leonard L. Scott,
2152
Graduate Texts in Mathematics, Vol. 42},
2153
PUBLISHER = {Springer-Verlag},
2154
ADDRESS = {New York},
2155
YEAR = {1977},
2156
PAGES = {x+170},
2157
ISBN = {0-387-90190-6},
2158
}
2159
2160
2161
@incollection {serre:local,
2162
AUTHOR = {Serre, J-P.},
2163
TITLE = {Local class field theory},
2164
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
2165
1965)},
2166
PAGES = {128--161},
2167
PUBLISHER = {Thompson, Washington, D.C.},
2168
YEAR = {1967},
2169
}
2170
2171
@book {serre:alggroups,
2172
AUTHOR = {Serre, J-P.},
2173
TITLE = {Algebraic groups and class fields},
2174
NOTE = {Translated from the French},
2175
PUBLISHER = {Springer-Verlag},
2176
ADDRESS = {New York},
2177
YEAR = {1988},
2178
PAGES = {x+207},
2179
ISBN = {0-387-96648-X},
2180
}
2181
2182
@book {serre:arithmetic,
2183
AUTHOR = {Serre, J-P.},
2184
TITLE = {A \protect{C}ourse in \protect{A}rithmetic},
2185
NOTE = {Translated from the French,
2186
Graduate Texts in Mathematics, No. 7},
2187
PUBLISHER = {Springer-Verlag},
2188
ADDRESS = {New York},
2189
YEAR = {1973},
2190
PAGES = {viii+115},
2191
}
2192
2193
2194
@book {serre:localfields,
2195
AUTHOR = {Serre, J-P.},
2196
TITLE = {Local fields},
2197
NOTE = {Translated from the French by Marvin Jay Greenberg},
2198
PUBLISHER = {Springer-Verlag},
2199
ADDRESS = {New York},
2200
YEAR = {1979},
2201
PAGES = {viii+241},
2202
ISBN = {0-387-90424-7},
2203
}
2204
2205
@article{serre:propgal,
2206
AUTHOR = {Serre, J-P.},
2207
TITLE = {Propri\'et\'es galoisiennes des points d'ordre fini des courbes
2208
elliptiques},
2209
JOURNAL = {Invent. Math.},
2210
VOLUME = {15},
2211
YEAR = {1972},
2212
NUMBER = {4},
2213
PAGES = {259--331},
2214
}
2215
2216
@article{serre:propres,
2217
author={Serre, J-P.},
2218
title={Valeurs propres des \protect{op\'{e}rateurs} de
2219
\protect{Hecke} modulo \protect{$\ell$}},
2220
journal = {\protect{Ast\'{e}risque}},
2221
volume = {24--25},
2222
year = {1975},
2223
pages = {109--117}
2224
}
2225
2226
@article {serre:conjectures,
2227
AUTHOR = {Serre, J-P.},
2228
TITLE = {Sur les repr\'esentations modulaires de degr\'e \protect{$2$}
2229
de \protect{${\rm{G}al}(\overline{\bf {Q}}/{\bf {Q}})$}},
2230
JOURNAL = {Duke Math. J.},
2231
FJOURNAL = {Duke Mathematical Journal},
2232
VOLUME = {54},
2233
YEAR = {1987},
2234
NUMBER = {1},
2235
PAGES = {179--230},
2236
ISSN = {0012-7094},
2237
CODEN = {DUMJAO},
2238
}
2239
2240
2241
@article {serre-tate,
2242
AUTHOR = {Serre, J-P. and Tate, J.\thinspace{}T.},
2243
TITLE = {Good reduction of abelian varieties},
2244
JOURNAL = {Ann. of Math. (2)},
2245
VOLUME = {88},
2246
YEAR = {1968},
2247
PAGES = {492--517},
2248
}
2249
2250
@article{shimura:factors,
2251
AUTHOR = {Shimura, G.},
2252
TITLE={On the factors of the jacobian variety of a modular function field},
2253
journal={J. Math. Soc. Japan},
2254
volume={25},
2255
number={3},
2256
year={1973},
2257
pages={523--544},
2258
}
2259
2260
@article{shimura:onperiods,
2261
author={Shimura, G.},
2262
title={On the periods of modular forms},
2263
journal={Math. Ann.},
2264
volume={229},
2265
pages={211--221},
2266
year={1977}
2267
}
2268
2269
@article {shimura:surles,
2270
AUTHOR = {Shimura, G.},
2271
TITLE = {Sur les \protect{int\'egrales} \protect{attach\'ees}
2272
aux formes automorphes},
2273
JOURNAL = {J. Math. Soc. Japan},
2274
VOLUME = {11},
2275
YEAR = {1959},
2276
PAGES = {291--311},
2277
}
2278
2279
@book {silverman:aec,
2280
AUTHOR = {Silverman, J.\thinspace{}H.},
2281
TITLE = {The arithmetic of elliptic curves},
2282
NOTE = {Corrected reprint of the 1986 original},
2283
PUBLISHER = {Springer-Verlag},
2284
ADDRESS = {New York},
2285
YEAR = {1992},
2286
PAGES = {xii+400},
2287
ISBN = {0-387-96203-4},
2288
}
2289
2290
@book {silverman:aec2,
2291
AUTHOR = {Silverman, J.\thinspace{}H.},
2292
TITLE = {Advanced topics in the arithmetic of elliptic curves},
2293
PUBLISHER = {Springer-Verlag},
2294
ADDRESS = {New York},
2295
YEAR = {1994},
2296
PAGES = {xiv+525},
2297
ISBN = {0-387-94328-5},
2298
}
2299
2300
@article{stein:compgroup,
2301
author = "Stein, W.\thinspace{}A.",
2302
title = {Component groups of optimal
2303
quotients of {J}acobians},
2304
journal = {preprint},
2305
year = {1999}
2306
}
2307
2308
@article{stein:congruence,
2309
author = "Stein, W.\thinspace{}A.",
2310
title = {Congruences between modular forms},
2311
journal = {Notes},
2312
year = {1999}
2313
}
2314
2315
@article{generatinghecke,
2316
author = "Agashe, A. and Stein, W.\thinspace{}A.",
2317
title = {Generating the \protect{H}ecke algebra},
2318
journal = {preprint},
2319
year = {1999}
2320
}
2321
2322
@article{stein:hecke,
2323
author = "Stein, W.\thinspace{}A.",
2324
title = {\protect{{\tt HECKE}: The} modular forms calculator},
2325
journal = {Software (available online)},
2326
year = {1999}
2327
}
2328
2329
@article{stein:database,
2330
author = "Stein, W.\thinspace{}A.",
2331
title = {The modular forms database,\hfill\\
2332
\protect{{\tt http://shimura.math.berkeley.edu/\~{ }was/Tables}}}
2333
}
2334
2335
@article{stein:vissha,
2336
author = "Agash\'{e}, A. and Stein, W.\thinspace{}A.",
2337
title = {Visibility of {S}hafarevich-{T}ate groups of modular
2338
abelian varieties},
2339
journal = {preprint},
2340
year = {1999}
2341
}
2342
2343
@article{stein:periods,
2344
author = "Stein, W.\thinspace{}A. and Verrill, H.\thinspace{}A.",
2345
title = {Computing period lattices associated to newforms},
2346
journal = {preprint},
2347
year = {1999}
2348
}
2349
2350
@article{stein:phd,
2351
author="Stein, W.\thinspace{}A.",
2352
title={Explicit approaches to modular abelian varieties},
2353
journal={U.\thinspace{}C. Berkeley Ph.D. thesis},
2354
year={2000}
2355
}
2356
2357
@article{tate:nonexistence,
2358
author={Tate, J.\thinspace{}T.},
2359
title={The non-existence of certain \protect{Galois} extensions
2360
of \protect{$\Q$} unramified outside \protect{$2$}},
2361
journal={Contemporary Math.},
2362
volume={174},
2363
year={1994},
2364
pages={153--156}
2365
}
2366
2367
@incollection {tate:global,
2368
AUTHOR = {Tate, J.\thinspace{}T.},
2369
TITLE = {Global class field theory},
2370
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
2371
1965)},
2372
PAGES = {162--203},
2373
PUBLISHER = {Thompson, Washington, D.C.},
2374
YEAR = {1967},
2375
}
2376
2377
2378
@Comment {should be V\'{e}lu but this causes problems.}
2379
@inproceedings {velu:groupes,
2380
AUTHOR = {V\'{e}lu, J.},
2381
TITLE = {Groupes de \protect{G}alois
2382
attach\'es aux points d'ordre fini des
2383
courbes elliptiques sur un corps de
2384
nombres, d'apr\`es \protect{J}.
2385
\protect{P}. \protect{S}erre},
2386
BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, 1971--1972 (Univ.
2387
Bordeaux I, Talence), Exp. No. 30},
2388
PAGES = {12},
2389
PUBLISHER = {Lab. Th\'eorie des Nombres, Centre Nat. Recherche Sci.,
2390
Talence},
2391
YEAR = {1972},
2392
}
2393
2394
2395
2396
@book {MR52:8007,
2397
TITLE = {S\'eminaire de {T}h\'eorie des {N}ombres. 1971--1972},
2398
NOTE = {Tenu \`a l'Universit\'e de Bordeaux I, Talence, ann\'ee
2399
universitaire 1971--1972},
2400
PUBLISHER = {Laboratoire de Th\'eorie des Nombres, Centre National de
2401
Recherche Scientifique, Talence},
2402
YEAR = {1972},
2403
PAGES = {224 pp. (not consecutively paged)},
2404
}
2405
2406
@inproceedings{diamond:refined,
2407
AUTHOR = {Diamond, F.},
2408
TITLE = {The refined conjecture of \protect{S}erre},
2409
BOOKTITLE = {Elliptic curves, modular forms, \&
2410
\protect{F}ermat's last theorem (\protect{H}ong
2411
\protect{K}ong, 1993)},
2412
PAGES = {22--37},
2413
PUBLISHER = {Internat. Press},
2414
ADDRESS = {Cambridge, MA},
2415
YEAR = {1995},
2416
}
2417
2418
2419
2420
2421
@article{diamond-im,
2422
AUTHOR = {Diamond, F. and Im, J.},
2423
TITLE = {Modular forms and modular curves},
2424
BOOKTITLE = {Seminar on Fermat's Last Theorem (Toronto, ON, 1993--1994)},
2425
PAGES = {39--133},
2426
PUBLISHER = {Amer. Math. Soc.},
2427
ADDRESS = {Providence, RI},
2428
YEAR = {1995},
2429
}
2430
2431
@book {murty-murty,
2432
AUTHOR = {Murty, M.\thinspace{}R. and Murty, V.\thinspace{}K.},
2433
TITLE = {Non-vanishing of ${L}$-functions and applications},
2434
PUBLISHER = {Birkh\"auser Verlag},
2435
ADDRESS = {Basel},
2436
YEAR = {1997},
2437
PAGES = {xii+196},
2438
ISBN = {3-7643-5801-7},
2439
}
2440
2441
@book {MR96f:11004,
2442
TITLE = {Seminar on \protect{F}ermat's \protect{L}ast \protect{T}heorem},
2443
EDITOR = {Murty, V.\thinspace{}K.},
2444
NOTE = {Papers from the seminar held at the Fields Institute for
2445
Research in Mathematical Sciences, Toronto, Ontario,
2446
1993--1994},
2447
PUBLISHER = {Published by the American Mathematical Society, Providence, RI},
2448
YEAR = {1995},
2449
PAGES = {x+265},
2450
ISBN = {0-8218-0313-1},
2451
}
2452
2453
2454
@proceedings{boston,
2455
TITLE = {Modular forms and \protect{F}ermat's last theorem (Boston,MA, 1995)},
2456
EDITOR = {Cornell, G. and Silverman, J.\thinspace{}H. and Stevens, G.},
2457
NOTE = {Papers from the Instructional Conference on Number Theory and
2458
Arithmetic Geometry held at Boston University, Boston, MA,
2459
August 9--18, 1995},
2460
PUBLISHER = {Springer-Verlag},
2461
ADDRESS = {New York},
2462
YEAR = {1997},
2463
PAGES = {xx+582},
2464
ISBN = {0-387-94609-8},
2465
}
2466
2467
@inproceedings{DELIGNE,
2468
author = {Deligne, P.},
2469
title={Formes modulaires et \protect{repr\'{e}sentations $\ell$-adiques.}},
2470
NOTE = {Lecture Notes in Mathematics, Vol. 179},
2471
PUBLISHER = {Springer-Verlag},
2472
booktitle = {\protect{S\'{e}m.} Bourbaki no. 355, 1968/69},
2473
ADDRESS = {Berlin and New York},
2474
year = {1971},
2475
pages = {139--172}
2476
}
2477
2478
@book{MR,
2479
TITLE = {\protect{S\'{e}m.} Bourbaki no. 355, 1968/69},
2480
NOTE = {Lecture Notes in Mathematics, Vol. 179},
2481
PUBLISHER = {Springer-Verlag},
2482
ADDRESS = {Berlin and New York},
2483
YEAR = {1971}
2484
}
2485
2486
@book {MR48:8389,
2487
TITLE = {Modular functions of one variable. {I}{I}},
2488
BOOKTITLE = {Proceedings of the International Summer
2489
School, University of
2490
Antwerp, RUCA, July 17--August 3, 1972},
2491
EDITOR = {Deligne, P. and Kuyk, W.},
2492
NOTE = {Lecture Notes in Mathematics, Vol. 349},
2493
PUBLISHER = {Springer-Verlag},
2494
ADDRESS = {Berlin},
2495
YEAR = {1973},
2496
PAGES = {iv+598},
2497
}
2498
2499
@book {MR48:2080,
2500
TITLE = {Modular functions of one variable. {I}{I}{I}},
2501
BOOKTITLE = {Proceedings of the International Summer School, University of
2502
Antwerp, RUCA, July 17--August 3, 1972},
2503
EDITOR = {Kuyk, W. and Serre, J-P.},
2504
NOTE = {Lecture Notes in Mathematics, Vol. 350},
2505
PUBLISHER = {Springer-Verlag},
2506
ADDRESS = {Berlin},
2507
YEAR = {1973},
2508
PAGES = {iv+350},
2509
}
2510
2511
@article{ntl,
2512
title = {\protect{NTL: Number} theory library},
2513
author = {Shoup, V.},
2514
}
2515
2516
@article{lidia,
2517
title = {\protect{LiDIA: C++} number theory library},
2518
author = {Buchmann, J.}
2519
}
2520
2521
@article{cremona-luiz,
2522
title = {\protect{C++} matrix classes},
2523
author = {Cremona, J.\thinspace{}E. and Luiz F.}
2524
}
2525
2526
@book {freyetal,
2527
TITLE = {On {A}rtin's conjecture
2528
for odd \protect{$2$}-dimensional representations},
2529
BOOKTITLE = {On \protect{A}rtin's conjecture for odd
2530
\protect{$2$}-dimensional representations},
2531
EDITOR = {Frey, G.},
2532
PUBLISHER = {Springer-Verlag},
2533
ADDRESS = {Berlin},
2534
YEAR = {1994},
2535
PAGES = {viii+148},
2536
ISBN = {3-540-58387-4},
2537
}
2538
2539
@article{winnie:newforms,
2540
AUTHOR = {Li, W.\thinspace{}C.\thinspace{}W.},
2541
TITLE = {Newforms and functional equations},
2542
JOURNAL = {Math. Ann.},
2543
VOLUME = {212},
2544
YEAR = {1975},
2545
PAGES = {285--315},
2546
}
2547
2548
2549
@inproceedings {casselman,
2550
AUTHOR = {Casselman, W.},
2551
TITLE = {On representations of
2552
\protect{${\rm {G}{L}}\sb{2}$} and the arithmetic
2553
of modular curves},
2554
BOOKTITLE = {Modular functions of one variable, II (Proc. Internat. Summer
2555
School, Univ. Antwerp, Antwerp, 1972)},
2556
PAGES = {107--141. Lecture Notes in Math., Vol. 349},
2557
PUBLISHER = {Springer},
2558
ADDRESS = {Berlin},
2559
YEAR = {1973},
2560
}
2561
2562
2563
@proceedings {cassels-frohlich,
2564
TITLE = {Algebraic number theory},
2565
BOOKTITLE = {Proceedings of the instructional conference held at the
2566
University of Sussex, Brighton, September 1--17, 1965},
2567
EDITOR = {Cassels, J.\thinspace{}W.\thinspace{}S. and
2568
\protect{Fr{\"o}hlich}, A.},
2569
NOTE = {Reprint of the 1967 original},
2570
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
2571
ADDRESS = {London},
2572
YEAR = {1986},
2573
PAGES = {xviii+366},
2574
ISBN = {0-12-163251-2},
2575
}
2576
2577
2578
@inproceedings {waldspurger:corr,
2579
AUTHOR = {Waldspurger, J.-L.},
2580
TITLE = {Correspondances de {S}himura},
2581
BOOKTITLE = {Proceedings of the International Congress of Mathematicians,
2582
Vol.\ 1, 2 (Warsaw, 1983)},
2583
PAGES = {525--531},
2584
PUBLISHER = {PWN},
2585
ADDRESS = {Warsaw},
2586
YEAR = {1984},
2587
}
2588
2589
@proceedings {MR86g:00010,
2590
TITLE = {Proceedings of the international congress of mathematicians.
2591
{V}ol. 1, 2},
2592
EDITOR = {Ciesielski, Zbigniew and Olech, Czes{\l}aw},
2593
NOTE = {Held in Warsaw, August 16--24, 1983},
2594
PUBLISHER = {PWN---Polish Scientific Publishers},
2595
ADDRESS = {Warsaw},
2596
YEAR = {1984},
2597
PAGES = {lxii+1730},
2598
ISBN = {83-01-05523-5},
2599
}
2600
2601
@article {schur:arith,
2602
author={Schur, I.},
2603
title = {Arithmetische {U}ntersuchungen \"uber endliche {G}ruppen
2604
linearer {S}ubstitutionen},
2605
journal={Sitz. Pr. Akad. Wiss.},
2606
year = {1906},
2607
pages = {164--184},
2608
note = {Gesam. Abhl., {\bf I}, 177--197, Springer-Verlag,
2609
Berlin-Heidelberg-New York-Tokyo, 1973}
2610
}
2611
2612
@article {waldspurger:comp1,
2613
AUTHOR = {Waldspurger, J.-L.},
2614
TITLE = {Quelques propri\'et\'es arithm\'etiques de certaines formes
2615
automorphes sur \protect{${\rm {G}{L}}(2)$}},
2616
JOURNAL = {Compositio Math.},
2617
FJOURNAL = {Compositio Mathematica},
2618
VOLUME = {54},
2619
YEAR = {1985},
2620
NUMBER = {2},
2621
PAGES = {121--171},
2622
ISSN = {0010-437X},
2623
CODEN = {CMPMAF},
2624
MRCLASS = {11F70 (22E55)},
2625
MRNUMBER = {87g:11061a},
2626
MRREVR = {Stephen Gelbart},
2627
}
2628
2629
@article {waldspurger:comp2,
2630
AUTHOR = {Waldspurger, J.-L.},
2631
TITLE = {Sur les valeurs de certaines fonctions \protect{${L}$} automorphes en
2632
leur centre de sym\'etrie},
2633
JOURNAL = {Compositio Math.},
2634
FJOURNAL = {Compositio Mathematica},
2635
VOLUME = {54},
2636
YEAR = {1985},
2637
NUMBER = {2},
2638
PAGES = {173--242},
2639
ISSN = {0010-437X},
2640
CODEN = {CMPMAF},
2641
MRCLASS = {11F70 (11F67 22E55)},
2642
MRNUMBER = {87g:11061b},
2643
MRREVR = {Stephen Gelbart},
2644
}
2645
2646
2647
@article {khare:manu,
2648
AUTHOR = {Khare, C.},
2649
TITLE = {Multiplicities of mod $p$ {G}alois representations},
2650
JOURNAL = {Manuscripta Math.},
2651
FJOURNAL = {Manuscripta Mathematica},
2652
VOLUME = {95},
2653
YEAR = {1998},
2654
NUMBER = {2},
2655
PAGES = {181--188},
2656
ISSN = {0025-2611},
2657
CODEN = {MSMHB2},
2658
MRCLASS = {11F80 (11F33 11G18)},
2659
MRNUMBER = {98m:11046},
2660
MRREVR = {Ian Kiming},
2661
}
2662