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Author: William A. Stein
1
@article{momose-ozawa,
2
title = {Rational points of modular curves \protect{$X_{\split}(p)$}},
3
author = {Momose and Ozawa},
4
year = 2002,
5
journal = {Preprint}
6
}
7
8
9
@article{ono-mcgraw,
10
title = {Modular form Congruences and Selmer groups},
11
author = {Ono, K. and McGraw W.},
12
year = {2002},
13
journal = {Preprint}
14
}
15
16
17
@book {kubert-lang,
18
AUTHOR = {Kubert, D.\thinspace{}S. and Lang, S.},
19
TITLE = {Modular units},
20
SERIES = {Grundlehren der Mathematischen Wissenschaften [Fundamental
21
Principles of Mathematical Science]},
22
VOLUME = {244},
23
PUBLISHER = {Springer-Verlag},
24
ADDRESS = {New York},
25
YEAR = {1981},
26
PAGES = {xiii+358},
27
ISBN = {0-387-90517-0},
28
MRCLASS = {12A45 (10D05 14G25)},
29
MRNUMBER = {84h:12009},
30
MRREVIEWER = {Roland Gillard},
31
}
32
33
@article{ogg:hyperelliptic,
34
AUTHOR = {Ogg, Andrew P.},
35
TITLE = {Hyperelliptic modular curves},
36
JOURNAL = {Bull. Soc. Math. France},
37
VOLUME = {102},
38
YEAR = {1974},
39
PAGES = {449--462},
40
MRCLASS = {14G05 (10D05 14H45)},
41
MRNUMBER = {51 \#514},
42
MRREVIEWER = {Kuang-yen Shih},
43
}
44
45
@article {lang:finitefields,
46
AUTHOR = {Lang, S.},
47
TITLE = {Algebraic groups over finite fields},
48
JOURNAL = {Amer. J. Math.},
49
VOLUME = {78},
50
YEAR = {1956},
51
PAGES = {555--563},
52
MRCLASS = {14.0X},
53
MRNUMBER = {19,174a},
54
MRREVIEWER = {P. Roquette},
55
}
56
57
@article {mccallum:duality,
58
AUTHOR = {McCallum, W.\thinspace{}G.},
59
TITLE = {Duality theorems for {N}\'eron models},
60
JOURNAL = {Duke Math. J.},
61
FJOURNAL = {Duke Mathematical Journal},
62
VOLUME = {53},
63
YEAR = {1986},
64
NUMBER = {4},
65
PAGES = {1093--1124},
66
ISSN = {0012-7094},
67
CODEN = {DUMJAO},
68
MRCLASS = {14K15 (11G10 14F20)},
69
MRNUMBER = {88c:14062},
70
MRREVIEWER = {Gerd Faltings},
71
}
72
73
@article {schneider:iwasawa,
74
AUTHOR = {Schneider, P.},
75
TITLE = {Iwasawa ${L}$-functions of varieties over algebraic number
76
fields. {A} first approach},
77
JOURNAL = {Invent. Math.},
78
FJOURNAL = {Inventiones Mathematicae},
79
VOLUME = {71},
80
YEAR = {1983},
81
NUMBER = {2},
82
PAGES = {251--293},
83
ISSN = {0020-9910},
84
CODEN = {INVMBH},
85
MRCLASS = {11G40 (11G10 14G10 14K15)},
86
MRNUMBER = {85d:11063},
87
MRREVIEWER = {Stephen Lichtenbaum},
88
}
89
90
91
@article {milne:bsdres,
92
AUTHOR = {Milne, J.\thinspace{}S.},
93
TITLE = {On the arithmetic of abelian varieties},
94
JOURNAL = {Invent. Math.},
95
VOLUME = {17},
96
YEAR = {1972},
97
PAGES = {177--190},
98
MRCLASS = {14K15 (14G10 14G25)},
99
MRNUMBER = {48 \#8512},
100
MRREVIEWER = {T. Ono},
101
}
102
103
104
@incollection {sd:bsd,
105
AUTHOR = {Swinnerton-Dyer, P.},
106
TITLE = {The conjectures of {B}irch and {S}winnerton-{D}yer, and of
107
{T}ate},
108
BOOKTITLE = {Proc. Conf. Local Fields (Driebergen, 1966)},
109
PAGES = {132--157},
110
PUBLISHER = {Springer},
111
ADDRESS = {Berlin},
112
YEAR = {1967},
113
MRCLASS = {14.48},
114
MRNUMBER = {37 \#6287},
115
MRREVIEWER = {Y. Nakai},
116
}
117
118
@book {MR37:3885,
119
TITLE = {Proceedings of a {C}onference on {L}ocal {F}ields},
120
PUBLISHER = {Springer-Verlag},
121
ADDRESS = {Berlin},
122
YEAR = {1967},
123
PAGES = {v+214},
124
MRCLASS = {00.04 (12.00)},
125
MRNUMBER = {37 \#3885},
126
}
127
128
@article {jordan-livne:sha,
129
AUTHOR = {Jordan, B.\thinspace{}W. and Livn{\'e}, R.},
130
TITLE = {On {A}tkin-{L}ehner quotients of {S}himura curves},
131
JOURNAL = {Bull. London Math. Soc.},
132
FJOURNAL = {The Bulletin of the London Mathematical Society},
133
VOLUME = {31},
134
YEAR = {1999},
135
NUMBER = {6},
136
PAGES = {681--685},
137
ISSN = {0024-6093},
138
CODEN = {LMSBBT},
139
MRCLASS = {11G18 (11G10 14G35)},
140
MRNUMBER = {2000j:11090},
141
MRREVIEWER = {Chandrashekhar Khare},
142
}
143
144
@incollection {rubin:kato,
145
AUTHOR = {Rubin, K.},
146
TITLE = {Euler systems and modular elliptic curves},
147
BOOKTITLE = {Galois representations in arithmetic algebraic geometry
148
(Durham, 1996)},
149
PAGES = {351--367},
150
PUBLISHER = {Cambridge Univ. Press},
151
ADDRESS = {Cambridge},
152
YEAR = {1998},
153
MRCLASS = {11G40 (11G05 11R18 11R23)},
154
MRNUMBER = {2001a:11106},
155
MRREVIEWER = {Massimo Bertolini},
156
}
157
158
@book {MR2000a:11005,
159
TITLE = {Galois representations in arithmetic algebraic geometry},
160
EDITOR = {Scholl, A. J. and Taylor, R. L.},
161
NOTE = {Papers from the London Mathematical Society Symposium held in
162
Durham, July 9--18, 1996},
163
PUBLISHER = {Cambridge University Press},
164
ADDRESS = {Cambridge},
165
YEAR = {1998},
166
PAGES = {viii+493},
167
ISBN = {0-521-64419-4},
168
MRCLASS = {11-06},
169
MRNUMBER = {2000a:11005},
170
}
171
172
@article {fontaine:groupes,
173
AUTHOR = {Fontaine, J-M.},
174
TITLE = {Groupes finis commutatifs sur les vecteurs de {W}itt},
175
JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
176
VOLUME = {280},
177
YEAR = {1975},
178
PAGES = {Ai, A1423--A1425},
179
MRCLASS = {14L05},
180
MRNUMBER = {51 \#10353},
181
MRREVIEWER = {Robert A. Morris},
182
}
183
184
@article {ribet:endo,
185
AUTHOR = {Ribet, K.\thinspace{}A.},
186
TITLE = {Endomorphisms of semi-stable abelian varieties over number
187
fields},
188
JOURNAL = {Ann. Math. (2)},
189
VOLUME = {101},
190
YEAR = {1975},
191
PAGES = {555--562},
192
MRCLASS = {14K15 (10D05)},
193
MRNUMBER = {51 \#8120},
194
MRREVIEWER = {M. Kuga},
195
}
196
197
@article{gordon-ono:vis,
198
TITLE = {Modular form {C}ongruences and {S}elmer groups},
199
AUTHOR = {McGraw, W.\thinspace{}J. and Ono, K.},
200
JOURNAL = {preprint},
201
YEAR = {2002}
202
}
203
204
@book {MR2000m:11002,
205
AUTHOR = {Coates, J. and Greenberg, R. and Ribet, K. A. and Rubin, K.},
206
TITLE = {Arithmetic theory of elliptic curves},
207
NOTE = {Lectures from the 3rd C.I.M.E.\ Session held in Cetraro, July
208
12--19, 1997,
209
Edited by C. Viola},
210
PUBLISHER = {Springer-Verlag},
211
ADDRESS = {Berlin},
212
YEAR = {1999},
213
PAGES = {viii+234},
214
ISBN = {3-540-66546-3},
215
MRCLASS = {11-06 (11G05)},
216
MRNUMBER = {2000m:11002},
217
}
218
219
@incollection {ribet:torsion,
220
AUTHOR = {Ribet, K.\thinspace{}A.},
221
TITLE = {Torsion points on ${J}\sb 0({N})$ and {G}alois
222
representations},
223
BOOKTITLE = {Arithmetic theory of elliptic curves (Cetraro, 1997)},
224
PAGES = {145--166},
225
PUBLISHER = {Springer},
226
ADDRESS = {Berlin},
227
YEAR = {1999},
228
MRCLASS = {11G18 (11F80)},
229
MRNUMBER = {2001b:11054},
230
MRREVIEWER = {Matthew H. Baker},
231
}
232
233
234
@article {merel-stein,
235
AUTHOR = {Merel, L. and Stein, W.\thinspace{}A.},
236
TITLE = {The field generated by the points of small prime order on an
237
elliptic curve},
238
JOURNAL = {Internat. Math. Res. Notices},
239
FJOURNAL = {International Mathematics Research Notices},
240
YEAR = {2001},
241
NUMBER = {20},
242
PAGES = {1075--1082},
243
ISSN = {1073-7928},
244
MRCLASS = {11G05},
245
MRNUMBER = {1 857 596},
246
}
247
248
@article {hardy_littlewood:conjf,
249
AUTHOR = {Hardy, G.\thinspace{}H. and Littlewood, J.\thinspace{}E.},
250
TITLE = {Some {P}roblems of `{P}artitio {N}umerorum.' {I}{I}{I}.
251
{O}n the {E}xpression of a {N}umber as a {S}um of {P}rimes.},
252
JOURNAL = {Acta. Math.},
253
VOLUME = {44},
254
YEAR = {1922},
255
PAGES = {1--70}
256
}
257
258
@article {setzer,
259
AUTHOR = {Setzer, B.},
260
TITLE = {Elliptic curves of prime conductor},
261
JOURNAL = {J. London Math. Soc. (2)},
262
VOLUME = {10},
263
YEAR = {1975},
264
PAGES = {367--378},
265
MRCLASS = {14K15 (10D05 14G25)},
266
MRNUMBER = {51 \#8121},
267
MRREVIEWER = {M. Basmakov},
268
}
269
270
@article {neumann2,
271
AUTHOR = {Neumann, O.},
272
TITLE = {Elliptische {K}urven mit vorgeschriebenem
273
{R}eduktionsverhalten. {I}{I}},
274
JOURNAL = {Math. Nachr.},
275
VOLUME = {56},
276
YEAR = {1973},
277
PAGES = {269--280},
278
MRCLASS = {14K15 (14G25)},
279
MRNUMBER = {49 \#2767b},
280
MRREVIEWER = {J. W. S. Cassels},
281
}
282
@article {neumann1,
283
AUTHOR = {Neumann, O.},
284
TITLE = {Elliptische {K}urven mit vorgeschriebenem
285
{R}eduktionsverhalten. {I}},
286
JOURNAL = {Math. Nachr.},
287
VOLUME = {49},
288
YEAR = {1971},
289
PAGES = {107--123},
290
MRCLASS = {14K15 (14G25)},
291
MRNUMBER = {49 \#2767a},
292
MRREVIEWER = {J. W. S. Cassels},
293
}
294
295
@article {stein-watkins:ants5,
296
AUTHOR = {Stein, W.\thinspace{}A. and Watkins, M.},
297
TITLE = {A {D}atabase of {E}lliptic {C}urves---{F}irst {R}eport},
298
JOURNAL = {Proceedings of the 5th International Symposium (ANTS-V)},
299
publisher={Springer},
300
address ={Berlin},
301
YEAR = {2002}
302
}
303
304
305
@incollection {kolyvagin:euler_systems,
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AUTHOR = {Kolyvagin, V. A.},
307
TITLE = {Euler systems},
308
BOOKTITLE = {The Grothendieck Festschrift, Vol.\ II},
309
PAGES = {435--483},
310
PUBLISHER = {Birkh\"auser Boston},
311
ADDRESS = {Boston, MA},
312
YEAR = {1990},
313
MRCLASS = {11R34 (11G05 11G40 11R29)},
314
MRNUMBER = {92g:11109},
315
MRREVIEWER = {Karl Rubin},
316
}
317
318
@book {MR92b:00051,
319
TITLE = {The {G}rothendieck {F}estschrift. {V}ol. {I}{I}},
320
EDITOR = {Cartier, P. and Illusie, L. and Katz, N. M. and Laumon, G. and
321
Ribet, K. A.},
322
NOTE = {A collection of articles written in honor of the 60th birthday
323
of Alexander Grothendieck},
324
PUBLISHER = {Birkh\"auser Boston Inc.},
325
ADDRESS = {Boston, MA},
326
YEAR = {1990},
327
PAGES = {viii+563},
328
ISBN = {0-8176-3428-2},
329
MRCLASS = {00B30 (11-06 14-06)},
330
MRNUMBER = {92b:00051},
331
}
332
333
@book {lenstras:nfs,
334
TITLE = {The development of the number field sieve},
335
EDITOR = {Lenstra, A.\thinspace{}K. and Lenstra, Jr., H.\thinspace{}W.},
336
PUBLISHER = {Springer-Verlag},
337
ADDRESS = {Berlin},
338
YEAR = {1993},
339
PAGES = {viii+131},
340
ISBN = {3-540-57013-6},
341
MRCLASS = {11Yxx (11-06 11N35 11N36 11Y05 11Y40)},
342
MRNUMBER = {96m:11116},
343
MRREVIEWER = {Samuel S. Wagstaff, Jr.},
344
}
345
346
@book{cohen:course_ant,
347
AUTHOR = {Cohen, H.},
348
TITLE = {A course in computational algebraic number theory},
349
PUBLISHER = {Springer-Verlag},
350
ADDRESS = {Berlin},
351
YEAR = {1993},
352
PAGES = {xii+534},
353
ISBN = {3-540-55640-0},
354
MRCLASS = {11Y40 (11Rxx 68Q40)},
355
MRNUMBER = {94i:11105},
356
MRREVIEWER = {Joe P. Buhler},
357
}
358
359
@book {eisenbud_harris:geometry,
360
AUTHOR = {Eisenbud, D. and Harris, J.},
361
TITLE = {The geometry of schemes},
362
PUBLISHER = {Springer-Verlag},
363
ADDRESS = {New York},
364
YEAR = {2000},
365
PAGES = {x+294},
366
ISBN = {0-387-98638-3; 0-387-98637-5},
367
MRCLASS = {14A15 (14-01 14C05 14H50 14N05)},
368
MRNUMBER = {2001d:14002},
369
MRREVIEWER = {Allen B. Altman},
370
}
371
372
@article {kolyvagin:weil,
373
AUTHOR = {Kolyvagin, V. A.},
374
TITLE = {The {M}ordell-{W}eil and {S}hafarevich-{T}ate groups for
375
{W}eil elliptic curves},
376
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
377
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
378
VOLUME = {52},
379
YEAR = {1988},
380
NUMBER = {6},
381
PAGES = {1154--1180, 1327},
382
ISSN = {0373-2436},
383
MRCLASS = {11G05 (11D41 11G40 14G25 14K07)},
384
MRNUMBER = {90f:11035},
385
MRREVIEWER = {Reinhard B{\"o}lling},
386
}
387
388
@article {kolyvagin:subclass,
389
AUTHOR = {Kolyvagin, V. A.},
390
TITLE = {Finiteness of ${E}({\bf {Q}})$ and {S}{H}$({E},{\bf {Q}})$ for
391
a subclass of {W}eil curves},
392
JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
393
FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
394
VOLUME = {52},
395
YEAR = {1988},
396
NUMBER = {3},
397
PAGES = {522--540, 670--671},
398
ISSN = {0373-2436},
399
MRCLASS = {11G05 (11G40 14G25 14K07)},
400
MRNUMBER = {89m:11056},
401
MRREVIEWER = {Reinhard B{\"o}lling},
402
}
403
404
405
@article {edixhoven:tame,
406
AUTHOR = {Edixhoven, Bas},
407
TITLE = {N\'eron models and tame ramification},
408
JOURNAL = {Compositio Math.},
409
FJOURNAL = {Compositio Mathematica},
410
VOLUME = {81},
411
YEAR = {1992},
412
NUMBER = {3},
413
PAGES = {291--306},
414
ISSN = {0010-437X},
415
CODEN = {CMPMAF},
416
MRCLASS = {14K15 (11G10)},
417
MRNUMBER = {93a:14041},
418
MRREVIEWER = {Min Ho Lee},
419
}
420
421
@book {guy:unsolved,
422
AUTHOR = {Guy, R.\thinspace{}K.},
423
TITLE = {Unsolved problems in number theory},
424
EDITION = {Second},
425
NOTE = {Unsolved Problems in Intuitive Mathematics, I},
426
PUBLISHER = {Springer-Verlag},
427
ADDRESS = {New York},
428
YEAR = {1994},
429
PAGES = {xvi+285},
430
ISBN = {0-387-94289-0},
431
MRCLASS = {11-01 (00A07 11-02)},
432
MRNUMBER = {96e:11002},
433
MRREVIEWER = {B. M. M. de Weger},
434
}
435
436
@article {lenstra-oort:additive,
437
AUTHOR = {Lenstra, Jr., H. W. and Oort, F.},
438
TITLE = {Abelian varieties having purely additive reduction},
439
JOURNAL = {J. Pure Appl. Algebra},
440
FJOURNAL = {Journal of Pure and Applied Algebra},
441
VOLUME = {36},
442
YEAR = {1985},
443
NUMBER = {3},
444
PAGES = {281--298},
445
ISSN = {0022-4049},
446
CODEN = {JPAAA2},
447
MRCLASS = {14K15 (11G10 14G20)},
448
MRNUMBER = {86e:14020},
449
MRREVIEWER = {Joseph H. Silverman},
450
}
451
452
@article {mazurtate:13,
453
AUTHOR = {Mazur, B. and Tate, J.},
454
TITLE = {Points of order $13$ on elliptic curves},
455
JOURNAL = {Invent. Math.},
456
VOLUME = {22},
457
YEAR = {1973/74},
458
PAGES = {41--49},
459
MRCLASS = {14G05 (14H40 14K15)},
460
MRNUMBER = {50 \#327},
461
MRREVIEWER = {F. Oort},
462
}
463
464
@incollection {ogg:rational13,
465
AUTHOR = {Ogg, A. P.},
466
TITLE = {Rational points on certain elliptic modular curves},
467
BOOKTITLE = {Analytic number theory (Proc. Sympos. Pure Math., Vol XXIV,
468
St. Louis Univ., St. Louis, Mo., 1972)},
469
PAGES = {221--231},
470
PUBLISHER = {Amer. Math. Soc.},
471
ADDRESS = {Providence, R.I.},
472
YEAR = {1973},
473
MRCLASS = {14G05 (10D05 14K15)},
474
MRNUMBER = {49 \#2743},
475
MRREVIEWER = {J. W. S. Cassels},
476
}
477
478
@article{watanabe:reflections,
479
AUTHOR = {Watanabe, J.},
480
TITLE = {Some remarks on {C}ohen-{M}acaulay rings with many zero
481
divisors and an application},
482
JOURNAL = {J. Algebra},
483
VOLUME = {39},
484
YEAR = {1976},
485
NUMBER = {1},
486
PAGES = {1--14},
487
MRCLASS = {14M15 (13H10)},
488
MRNUMBER = {53 \#2968},
489
MRREVIEWER = {Jean-Luc Chabert},
490
}
491
492
@article {chevalley:thm,
493
AUTHOR = {Chevalley, C.},
494
TITLE = {Une d\'emonstration d'un th\'eor\`eme sur les groupes
495
alg\'ebriques},
496
JOURNAL = {J. Math. Pures Appl. (9)},
497
VOLUME = {39},
498
YEAR = {1960},
499
PAGES = {307--317},
500
MRCLASS = {14.50},
501
MRNUMBER = {23 \#A3743},
502
MRREVIEWER = {I. Barsotti},
503
}
504
505
506
507
@article {cassels:arithmeticIII,
508
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
509
TITLE = {Corrigendum: ``{A}rithmetic on curves of genus $1$. {I}{I}{I}.
510
{T}he {T}ate-\v {S}afarevi\v c and {S}elmer groups''},
511
JOURNAL = {Proc. London Math. Soc. (3)},
512
VOLUME = {13},
513
YEAR = {1963},
514
PAGES = {768},
515
MRCLASS = {14.49},
516
MRNUMBER = {29 \#1213},
517
}
518
519
@incollection {tate:duality,
520
AUTHOR = {Tate, J.},
521
TITLE = {Duality theorems in {G}alois cohomology over number fields},
522
BOOKTITLE = {Proc. Internat. Congr. Mathematicians (Stockholm, 1962)},
523
PAGES = {288--295},
524
PUBLISHER = {Inst. Mittag-Leffler},
525
ADDRESS = {Djursholm},
526
YEAR = {1963},
527
MRCLASS = {10.66},
528
MRNUMBER = {31 \#168},
529
}
530
531
@article{mazur:visthree,
532
AUTHOR = {Mazur, B.},
533
TITLE = {Visualizing elements of order three in the
534
{S}hafarevich-{T}ate group},
535
JOURNAL = {Asian J. Math.},
536
FJOURNAL = {The Asian Journal of Mathematics},
537
VOLUME = {3},
538
YEAR = {1999},
539
NUMBER = {1},
540
PAGES = {221--232},
541
ISSN = {1093-6106},
542
MRCLASS = {11G05 (14G05)},
543
MRNUMBER = {2000g:11048},
544
MRREVIEWER = {Odile Sauzet},
545
}
546
547
@article{emerton:optimal,
548
author = {Emerton, M.},
549
title = {Optimal {Q}uotients of {M}odular {J}acobians},
550
journal = {preprint},
551
year = {2001}
552
}
553
554
555
@article{buzzard-taylor,
556
AUTHOR = {Buzzard, K. and Taylor, R.},
557
TITLE = {Companion forms and weight one forms},
558
JOURNAL = {Ann. of Math. (2)},
559
FJOURNAL = {Annals of Mathematics. Second Series},
560
VOLUME = {149},
561
YEAR = {1999},
562
NUMBER = {3},
563
PAGES = {905--919},
564
ISSN = {0003-486X},
565
CODEN = {ANMAAH},
566
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815
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839
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840
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853
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854
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881
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897
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898
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899
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1004
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1020
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1035
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1049
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1050
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1067
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1081
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1082
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1083
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1097
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1109
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1111
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@book {neronmodels,
1124
AUTHOR = {Bosch, S. and L{\"u}tkebohmert, W. and Raynaud, M.},
1125
TITLE = {N\'eron models},
1126
PUBLISHER = {Springer-Verlag},
1127
ADDRESS = {Berlin},
1128
YEAR = {1990},
1129
PAGES = {x+325},
1130
ISBN = {3-540-50587-3},
1131
MRCLASS = {14K15 (11G10 14L15)},
1132
MRNUMBER = {91i:14034},
1133
MRREVR = {J. Milne},
1134
}
1135
1136
1137
@article {hida:iwasawa,
1138
AUTHOR = {Hida, H.},
1139
TITLE = {Iwasawa modules attached to congruences of cusp forms},
1140
JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
1141
FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
1142
Quatri\`eme S\'erie},
1143
VOLUME = {19},
1144
YEAR = {1986},
1145
NUMBER = {2},
1146
PAGES = {231--273},
1147
ISSN = {0012-9593},
1148
CODEN = {ASENAH},
1149
MRCLASS = {11F33 (11G18 11R23)},
1150
MRNUMBER = {88i:11023},
1151
MRREVR = {Yasutaka Ihara},
1152
}
1153
1154
1155
1156
@article {hida:invent86,
1157
AUTHOR = {Hida, H.},
1158
TITLE = {Galois representations into
1159
\protect{${\rm {G}{L}}\sb 2({\bf {Z}}\sb
1160
p[[{X}]])$} attached to ordinary cusp forms},
1161
JOURNAL = {Invent. Math.},
1162
FJOURNAL = {Inventiones Mathematicae},
1163
VOLUME = {85},
1164
YEAR = {1986},
1165
NUMBER = {3},
1166
PAGES = {545--613},
1167
ISSN = {0020-9910},
1168
CODEN = {INVMBH},
1169
MRCLASS = {11F11 (11F33 11F85 11R23)},
1170
MRNUMBER = {87k:11049},
1171
MRREVR = {Ernst-Wilhelm Zink},
1172
}
1173
1174
1175
@incollection {elkies:heegner,
1176
AUTHOR = {Elkies, N.\thinspace{}D.},
1177
TITLE = {Heegner point computations},
1178
BOOKTITLE = {Algorithmic number theory (Ithaca, NY, 1994)},
1179
PAGES = {122--133},
1180
PUBLISHER = {Springer},
1181
ADDRESS = {Berlin},
1182
YEAR = {1994},
1183
}
1184
@article {scholl:motivesinvent,
1185
AUTHOR = {Scholl, A.\thinspace{}J.},
1186
TITLE = {Motives for modular forms},
1187
JOURNAL = {Invent. Math.},
1188
FJOURNAL = {Inventiones Mathematicae},
1189
VOLUME = {100},
1190
YEAR = {1990},
1191
NUMBER = {2},
1192
PAGES = {419--430},
1193
ISSN = {0020-9910},
1194
CODEN = {INVMBH},
1195
}
1196
@incollection {scholl:kato,
1197
author = {Scholl, A.\thinspace{}J.},
1198
title = {An introduction to {K}ato's {E}uler systems},
1199
booktitle = {Galois Representations in Arithmetic Algebraic Geometry},
1200
pages = {379--460},
1201
year = {1998},
1202
publisher = {Cambridge University Press}
1203
}
1204
1205
@proceedings {lms254,
1206
title = {Galois Representations in Arithmetic Algebraic Geometry},
1207
booktitle = {Galois Representations in Arithmetic Algebraic Geometry},
1208
editor = {Scholl A.\thinspace{}J. and Taylor R.\thinspace{}L.},
1209
pages = {493},
1210
year = {1998},
1211
publisher = {Cambridge University Press}
1212
}
1213
1214
%qa1.h3
1215
@article{artin:conjecture,
1216
author = {Artin, E.},
1217
title = {{\"U}ber eine neue {A}rt von {L}-Reihen},
1218
journal={Abh. Math. Sem. Univ. Hamburg},
1219
volume ={3},
1220
year ={1923 or 1924??? CHECK!},
1221
pages ={89--108}
1222
}
1223
1224
@article{artin:conjecture2,
1225
author = {Artin, E},
1226
title = {Zur {T}heorie der {L}-{R}eihen mit allgemeinen
1227
{G}ruppencharakteren},
1228
journal={Abh. math. Semin. Univ. Hamburg},
1229
volume ={8},
1230
year ={1930},
1231
pages ={292--306}
1232
}
1233
1234
@article{buzzard-stein:artin,
1235
AUTHOR = {Buzzard, K. and Stein, W.\thinspace{}A.},
1236
title = {Modularity of some icosahedral {G}alois representations},
1237
journal = {in preparation}
1238
}
1239
1240
@proceedings {MR98g:11001,
1241
TITLE = {Computational perspectives on number theory},
1242
BOOKTITLE = {Proceedings of the conference in honor of A. O. L. Atkin held
1243
at the University of Illinois, Chicago, IL, September 1995},
1244
EDITOR = {Buell, D. A. and Teitelbaum, J. T.},
1245
PUBLISHER = {American Mathematical Society},
1246
ADDRESS = {Providence, RI},
1247
YEAR = {1998},
1248
PAGES = {x+232},
1249
ISBN = {0-8218-0880-X},
1250
}
1251
1252
1253
@proceedings {MR95j:11119,
1254
TITLE = {Algorithmic number theory},
1255
BOOKTITLE = {Proceedings of the First International Symposium (ANTS-I) held
1256
at Cornell University, Ithaca, New York, May 6--9, 1994},
1257
EDITOR = {Adleman, Leonard M. and Huang, Ming-Deh},
1258
PUBLISHER = {Springer-Verlag},
1259
ADDRESS = {Berlin},
1260
YEAR = {1994},
1261
PAGES = {x+323},
1262
ISBN = {3-540-58691-1},
1263
}
1264
1265
1266
1267
@incollection {elkies:ffield,
1268
AUTHOR = {Elkies, N.\thinspace{}D.},
1269
TITLE = {Elliptic and modular curves over finite fields and related
1270
computational issues},
1271
BOOKTITLE = {Computational perspectives on number theory (Chicago, IL,
1272
1995)},
1273
PAGES = {21--76},
1274
PUBLISHER = {Amer. Math. Soc.},
1275
ADDRESS = {Providence, RI},
1276
YEAR = {1998},
1277
}
1278
1279
1280
1281
@article {jones:thesis,
1282
author = {Jones, D.\thinspace{}M.},
1283
title = {On modular {G}alois representations in characteristic $3$},
1284
year = {1998},
1285
journal = {U.\thinspace{}C. Berkeley Ph.D. thesis}
1286
}
1287
1288
@article {agashe-stein:manin,
1289
AUTHOR = {Agashe, A. and Stein, W.\thinspace{}A.},
1290
TITLE = {The generalized {M}anin constant, congruence primes,
1291
and the modular degree},
1292
YEAR = {2002},
1293
journal = {In preparation}
1294
}
1295
1296
@article {stein:vismordell,
1297
AUTHOR = {Stein, W.\thinspace{}A.},
1298
TITLE = {{V}isualizing {M}ordell-{W}eil {G}roups of {E}lliptic {C}urves {U}sing
1299
{S}hafarevich-{T}ate {G}roups},
1300
YEAR = {2002},
1301
journal = {In preparation}
1302
}
1303
1304
1305
@article {ash-stevens,
1306
AUTHOR = {Ash, A. and Stevens, G.},
1307
TITLE = {Cohomology of arithmetic groups and congruences between systems
1308
of {H}ecke eigenvalues},
1309
JOURNAL = {J. Reine Angew. Math.},
1310
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
1311
VOLUME = {365},
1312
YEAR = {1986},
1313
PAGES = {192--220},
1314
ISSN = {0075-4102},
1315
CODEN = {JRMAA8},
1316
}
1317
1318
@article {buzzard:level,
1319
author = {Buzzard, K.},
1320
title = {On level-lowering for mod 2 representations},
1321
journal= {preprint}
1322
}
1323
1324
1325
@article {RAMA,
1326
author = {Ramakrishna, R.},
1327
title = {Lifting {G}alois representations},
1328
journal = {preprint}
1329
}
1330
1331
@article {SBTAYLOR,
1332
AUTHOR = {Shepherd-Barron, N. I. and Taylor, R.},
1333
TITLE = {Mod 2 and mod 5 icosahedral representations},
1334
JOURNAL = {J. Amer. Math. Soc.},
1335
FJOURNAL = {Journal of the American Mathematical Society},
1336
VOLUME = {10},
1337
YEAR = {1997},
1338
NUMBER = {2},
1339
PAGES = {283--298},
1340
ISSN = {0894-0347},
1341
}
1342
1343
@article {DOUD,
1344
AUTHOR = {Doud, D.},
1345
TITLE = {\protect{${S}\sb 4$} and \protect{$\tilde {S}{}\sb 4$}
1346
extensions of \protect{${\bf {Q}}$}
1347
ramified at only one prime},
1348
JOURNAL = {J. Number Theory},
1349
FJOURNAL = {Journal of Number Theory},
1350
VOLUME = {75},
1351
YEAR = {1999},
1352
NUMBER = {2},
1353
PAGES = {185--197},
1354
ISSN = {0022-314X},
1355
CODEN = {JNUTA9},
1356
}
1357
1358
1359
@proceedings {MR90b:11003,
1360
TITLE = {Number theory},
1361
BOOKTITLE = {Proceedings of the Fifteenth Journ\'ees Arithm\'etiques held at
1362
the University of Ulm, Ulm, September 14--18, 1987},
1363
EDITOR = {Schlickewei, H. P. and Wirsing, E.},
1364
PUBLISHER = {Springer-Verlag},
1365
ADDRESS = {New York},
1366
YEAR = {1989},
1367
PAGES = {vi+266},
1368
ISBN = {0-387-51397-3},
1369
}
1370
1371
@incollection {FREYTWO,
1372
AUTHOR = {Frey, G.},
1373
TITLE = {Links between solutions of
1374
\protect{${A}-{B}={C}$} and elliptic curves},
1375
BOOKTITLE = {Number theory (Ulm, 1987)},
1376
PAGES = {31--62},
1377
PUBLISHER = {Springer},
1378
ADDRESS = {New York},
1379
YEAR = {1989},
1380
}
1381
@article {FREYONE,
1382
AUTHOR = {Frey, G.},
1383
TITLE = {Links between stable elliptic curves and
1384
certain {D}iophantine \protect{\nobreak{equations}}},
1385
JOURNAL = {Ann. Univ. Sarav. Ser. Math.},
1386
FJOURNAL = {Annales Universitatis Saraviensis. Series Mathematicae},
1387
VOLUME = {1},
1388
YEAR = {1986},
1389
NUMBER = {1},
1390
PAGES = {iv+40},
1391
}
1392
1393
1394
@article {fujiwara,
1395
author = {Fujiwara, K.},
1396
title = {Level optimization in the totally real case},
1397
journal= {in preparation},
1398
year = {1999}
1399
}
1400
1401
@article {jarvis:mazur,
1402
AUTHOR = {Jarvis, F.},
1403
TITLE = {Mazur's principle for totally real fields of odd degree},
1404
JOURNAL = {Compositio Math.},
1405
FJOURNAL = {Compositio Mathematica},
1406
VOLUME = {116},
1407
YEAR = {1999},
1408
NUMBER = {1},
1409
PAGES = {39--79},
1410
ISSN = {0010-437X},
1411
CODEN = {CMPMAF},
1412
}
1413
@article {jarvis:level,
1414
AUTHOR = {Jarvis, F.},
1415
TITLE = {Level lowering for modular mod \protect{$\ell$}
1416
representations over totally real fields\-},
1417
JOURNAL = {Math. Ann.},
1418
FJOURNAL = {Mathematische Annalen},
1419
VOLUME = {313},
1420
YEAR = {1999},
1421
NUMBER = {1},
1422
PAGES = {141--160},
1423
ISSN = {0025-5831},
1424
CODEN = {MAANA},
1425
}
1426
@article {jarvis:hilbert,
1427
AUTHOR = {Jarvis, F.},
1428
TITLE = {On \protect{G}alois representations
1429
associated to \protect{H}ilbert modular
1430
forms},
1431
JOURNAL = {J. Reine Angew. Math.},
1432
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
1433
VOLUME = {491},
1434
YEAR = {1997},
1435
PAGES = {199--216},
1436
ISSN = {0075-4102},
1437
CODEN = {JRMAA8},
1438
}
1439
1440
@inproceedings {JPS,
1441
AUTHOR = {Serre, J-P.},
1442
TITLE = {Congruences et formes modulaires [d'apr\`es
1443
{H}.\thinspace{}{P}.\thinspace{}{F}.\
1444
{S}winnerton-{D}yer]},
1445
BOOKTITLE = {S\'eminaire Bourbaki, 24e ann\'ee (1971/1972), Exp. No. 416},
1446
PAGES = {319--338. Lecture Notes in Math., Vol. 317},
1447
PUBLISHER = {Springer},
1448
ADDRESS = {Berlin},
1449
YEAR = {1973},
1450
}
1451
1452
@book {MR50:16,
1453
TITLE = {S\'eminaire Bourbaki, 24e ann\'ee (1971/1972), Exp. No. 416},
1454
NOTE = {Vol. 1971/1972, 24e ann\'ee: Expos\'es Nos. 400--417,
1455
Lecture Notes in Mathematics, Vol. 317},
1456
PUBLISHER = {Springer-Verlag},
1457
ADDRESS = {Berlin},
1458
YEAR = {1973},
1459
PAGES = {iv+361},
1460
MRCLASS = {00A10},
1461
MRNUMBER = {50 #16},
1462
}
1463
1464
@article{agashe,
1465
AUTHOR = {Agashe, A.},
1466
TITLE = {On invisible elements of the {T}ate-{S}hafarevich group},
1467
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
1468
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
1469
Math\'ematique},
1470
VOLUME = {328},
1471
YEAR = {1999},
1472
NUMBER = {5},
1473
PAGES = {369--374},
1474
ISSN = {0764-4442},
1475
CODEN = {CASMEI},
1476
MRCLASS = {11Gxx},
1477
MRNUMBER = {1 678 131},
1478
}
1479
1480
1481
@incollection {bloch-kato,
1482
AUTHOR = {Bloch, S. and Kato, K.},
1483
TITLE = {\protect{${L}$}-functions and
1484
\protect{T}amagawa numbers of motives},
1485
BOOKTITLE = {The Grothendieck Festschrift, Vol. \protect{I}},
1486
PAGES = {333--400},
1487
PUBLISHER = {Birkh\"auser Boston},
1488
ADDRESS = {Boston, MA},
1489
YEAR = {1990},
1490
}
1491
1492
@book {MR91h:00035,
1493
TITLE = {The \protect{G}rothendieck
1494
\protect{F}estschrift. \protect{V}ol. \protect{I}},
1495
EDITOR = {Cartier, P. and Illusie, L. and Katz, N.\thinspace{}M.
1496
and Laumon, G. and Manin, Yu. and Ribet, K.\thinspace{}A.},
1497
NOTE = {A collection of articles written in honor of the 60th birthday
1498
of Alexander Grothendieck},
1499
PUBLISHER = {Birkh\"auser Boston Inc.},
1500
ADDRESS = {Boston, MA},
1501
YEAR = {1990},
1502
PAGES = {xx+498},
1503
ISBN = {0-8176-3427-4},
1504
}
1505
1506
@book {antwerpiv,
1507
TITLE = {Modular functions of one variable. {I}{V}},
1508
BOOKTITLE = {Proceedings of the International Summer School on Modular
1509
Functions of One Variable and Arithmetical Applications, RUCA,
1510
University of Antwerp, Antwerp, July 17--August 3, 1972},
1511
EDITOR = {Birch, B.\thinspace{}J. and Kuyk, W.},
1512
NOTE = {Lecture Notes in Mathematics, Vol. 476},
1513
PUBLISHER = {Springer-Verlag},
1514
ADDRESS = {Berlin},
1515
YEAR = {1975},
1516
PAGES = {iv+151},
1517
}
1518
1519
@incollection{birch:bsd,
1520
AUTHOR = {Birch, B.\thinspace{}J.},
1521
TITLE = {Elliptic curves over \protect{${\mathbf{Q}}$: {A}} progress report},
1522
BOOKTITLE = {1969 Number Theory Institute (Proc. Sympos. Pure Math., Vol.
1523
XX, State Univ. New York, Stony Brook, N.Y., 1969)},
1524
PAGES = {396--400},
1525
PUBLISHER = {Amer. Math. Soc.},
1526
ADDRESS = {Providence, R.I.},
1527
YEAR = {1971}
1528
}
1529
1530
@incollection {birch:hecke_actions,
1531
AUTHOR = {Birch, B. J.},
1532
TITLE = {Hecke actions on classes of ternary quadratic forms},
1533
BOOKTITLE = {Computational number theory (Debrecen, 1989)},
1534
PAGES = {191--212},
1535
PUBLISHER = {de Gruyter},
1536
ADDRESS = {Berlin},
1537
YEAR = {1991},
1538
MRCLASS = {11E45 (11E20 11F11 11G05 11Y35)},
1539
MRNUMBER = {93i:11047},
1540
MRREVR = {Rainer Schulze-Pillot},
1541
}
1542
1543
@proceedings {MR92i:11131,
1544
TITLE = {Computational number theory},
1545
BOOKTITLE = {Proceedings of the colloquium held at Kossuth Lajos University,
1546
Debrecen, September 4--9, 1989},
1547
EDITOR = {Peth{\H{o}}, Attila and Pohst, Michael E. and Williams, Hugh C.
1548
and Zimmer, Horst G{\"u}nter},
1549
PUBLISHER = {Walter de Gruyter \& Co.},
1550
ADDRESS = {Berlin},
1551
YEAR = {1991},
1552
PAGES = {xiv+342},
1553
ISBN = {3-11-012394-0},
1554
MRCLASS = {11Yxx (11-06)},
1555
MRNUMBER = {92i:11131},
1556
}
1557
1558
@article {boston-lenstra-ribet,
1559
AUTHOR = {N. Boston and \protect{H.\thinspace{}W. Lenstra, Jr.}
1560
and K.\thinspace{}A. Ribet},
1561
TITLE = {Quotients of group rings arising from two-dimensional
1562
representations},
1563
JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
1564
FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
1565
Math\'ematique},
1566
VOLUME = {312},
1567
YEAR = {1991},
1568
NUMBER = {4},
1569
PAGES = {323--328},
1570
ISSN = {0764-4442},
1571
CODEN = {CASMEI},
1572
}
1573
1574
@book{buhler:thesis,
1575
AUTHOR = {Buhler, J.\thinspace{}P.},
1576
TITLE = {Icosahedral \protect{G}alois representations},
1577
NOTE = {Lecture Notes in Mathematics, Vol. 654},
1578
PUBLISHER = {Springer-Verlag},
1579
ADDRESS = {Berlin},
1580
YEAR = {1978},
1581
PAGES = {ii+143},
1582
ISBN = {3-540-08844-X},
1583
}
1584
1585
@article{atkin-lehner,
1586
AUTHOR = {Atkin, A.\thinspace{}O.\thinspace{}L. and Lehner, J.},
1587
TITLE = {Hecke operators on \protect{$\Gamma \sb{0}(m)$}},
1588
JOURNAL = {Math. Ann.},
1589
VOLUME = {185},
1590
YEAR = {1970},
1591
PAGES = {134--160},
1592
}
1593
1594
@article{galbraith,
1595
author = {Galbraith, S.\thinspace{}D.},
1596
title = {Equations for modular curves},
1597
Year = {1996},
1598
journal = {Oxford Ph.D. thesis},
1599
pages = {91 pp.}
1600
}
1601
1602
@article{BRUE,
1603
author = {Brueggeman, S.},
1604
title = {The non-existence of certain \protect{Galois} extensions
1605
unramified outside 5},
1606
journal = {Journal of Number Theory},
1607
volume = {75},
1608
year = {1999},
1609
pages = {47--52}
1610
}
1611
1612
@article{brumer:rank,
1613
AUTHOR = {Brumer, A.},
1614
TITLE = {The rank of \protect{${J}\sb 0({N})$}},
1615
NOTE = {Columbia University Number Theory Seminar (New York, 1992)},
1616
JOURNAL = {Ast\'erisque},
1617
FJOURNAL = {Ast\'erisque},
1618
NUMBER = {228},
1619
YEAR = {1995},
1620
PAGES = {3, 41--68},
1621
ISSN = {0303-1179},
1622
}
1623
1624
@article {cassels:arithmeticIV,
1625
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1626
TITLE = {Arithmetic on curves of genus \protect{$1$}. {I}{V}.
1627
{P}roof of the {H}auptvermutung},
1628
JOURNAL = {J. Reine Angew. Math.},
1629
VOLUME = {211},
1630
YEAR = {1962},
1631
PAGES = {95--112},
1632
}
1633
1634
@article {cassels:arithmeticV,
1635
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1636
TITLE = {Arithmetic on curves of genus 1. {V}. {T}wo counterexamples},
1637
JOURNAL = {J. London Math. Soc.},
1638
VOLUME = {38},
1639
YEAR = {1963},
1640
PAGES = {244--248},
1641
}
1642
1643
@article {cassels:diophantinecurve,
1644
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1645
TITLE = {Diophantine equations with special reference to elliptic
1646
curves},
1647
JOURNAL = {J. London Math. Soc.},
1648
VOLUME = {41},
1649
YEAR = {1966},
1650
PAGES = {193--291},
1651
}
1652
1653
@incollection {cassels:global,
1654
AUTHOR = {Cassels, J.\thinspace{}W.\thinspace{}S.},
1655
TITLE = {Global fields},
1656
BOOKTITLE = {Algebraic Number Theory (Proc. Instructional Conf., Brighton,
1657
1965)},
1658
PAGES = {42--84},
1659
PUBLISHER = {Thompson, Washington, D.C.},
1660
YEAR = {1967},
1661
}
1662
1663
@article{CAREARLY,
1664
author="Carayol, H.",
1665
title={Sur les \protect{repr\'esentations}
1666
\protect{$\ell$-adiques} \protect{associ\'ees}
1667
aux formes modulaires de \protect{Hilbert}},
1668
journal={Ann. scient. \protect{\'Ec.} Norm. Sup.,
1669
\protect{$4^{\rm eb}$ s\'erie}},
1670
volume={19},
1671
year={1986},
1672
pages={409--468}
1673
}
1674
1675
@article{carayol:modell,
1676
author={Carayol, H.},
1677
title={Sur les \protect{repr\'esentations} galoisiennes
1678
modulo \protect{$\ell$ attach\'ees} aux formes modulaires},
1679
journal={Duke Math. J.},
1680
volume={59},
1681
year ={1989},
1682
pages ={785--801}
1683
}
1684
1685
@article{coleman:monodromy,
1686
author = {Coleman, R.},
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1688
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1689
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1690
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1691
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1692
}
1693
1694
@article{cremona:onlinetables,
1695
author = {Cremona, J.\thinspace{}E.},
1696
title = {Elliptic curves of conductor \protect{$\leq 12000$},\hfill\\
1697
{\sf http://www.maths.nott.ac.uk/personal/jec/ftp/data/}}
1698
}
1699
1700
@book{cremona:algs,
1701
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1702
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1705
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1706
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1711
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1714
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1715
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ISSN = {1058-6458},
1722
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1723
1724
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1726
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1727
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1731
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1733
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1734
CODEN = {JNUTA9},
1735
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1736
1737
1738
@article{cremona:gammaone,
1739
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1740
TITLE = {Modular symbols for \protect{$\Gamma\sb 1({N})$}
1741
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1742
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1743
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1747
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1748
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1750
CODEN = {MPCPCO},
1751
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1752
1753
1754
@article {cremona-mazur,
1755
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1756
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1757
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1763
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1764
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1765
MRNUMBER = {1 758 797},
1766
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1767
1768
@book {curtis-reiner,
1769
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1770
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1771
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1772
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1773
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1774
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1775
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1776
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1777
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1779
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1780
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1781
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1782
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1783
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1785
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1786
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1787
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1788
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1789
MRREVR = {Dipendra Prasad},
1790
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1791
1792
@incollection{ddt,
1793
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1794
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1795
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1796
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1797
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1798
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1799
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1800
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1801
1802
@article{eichler:quadratic,
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1810
1811
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1815
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1816
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1817
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1818
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1819
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1820
1821
@book {knapp:elliptic,
1822
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1823
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1824
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1825
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1826
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1827
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1828
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1830
1831
@article {lang-tate,
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1834
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1840
@article{shimizu:zeta,
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1843
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1849
1850
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1852
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1853
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1856
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1857
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1858
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1859
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1860
1861
@article {serre:enseign,
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1863
TITLE = {Divisibilit\'e de certaines fonctions arithm\'etiques},
1864
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1865
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1866
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1867
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1868
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1870
MRNUMBER = {55 #7958},
1871
MRREVR = {Larry J. Goldstein},
1872
}
1873
1874
@inproceedings {serre:antwerp72,
1875
AUTHOR = {Serre, J-P.},
1876
TITLE = {Formes modulaires et fonctions z\^eta $p$-adiques},
1877
BOOKTITLE = {Proceedings of the International Summer School, University of
1878
Antwerp, RUCA, July 17--August 3, 1972},
1879
PAGES = {191--268. Lecture Notes in Math., Vol. 350},
1880
PUBLISHER = {Springer},
1881
ADDRESS = {Berlin},
1882
YEAR = {1973},
1883
MRCLASS = {10D05},
1884
MRNUMBER = {53 #7949a},
1885
MRREVR = {K.-B. Gundlach},
1886
}
1887
1888
1889
@book {MR48:2080,
1890
TITLE = {Modular functions of one variable. {I}{I}{I}},
1891
BOOKTITLE = {Proceedings of the International Summer School, University of
1892
Antwerp, RUCA, July 17--August 3, 1972},
1893
EDITOR = {Kuyk, Willem and Serre, J.-P.},
1894
NOTE = {Lecture Notes in Mathematics, Vol. 350},
1895
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1896
ADDRESS = {Berlin},
1897
YEAR = {1973},
1898
PAGES = {iv+350},
1899
MRCLASS = {10D05 (14K22)},
1900
MRNUMBER = {48 #2080},
1901
}
1902
1903
% MR52:284,
1904
@article {deligne-serre,
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AUTHOR = {Deligne, P. and Serre, J-P.},
1906
TITLE = {Formes modulaires de poids $1$},
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YEAR = {1974},
1910
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1912
1913
@article {diamond-kramer,
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AUTHOR = {Diamond, F. and Kramer, K.},
1915
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1917
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}
1924
1925
@article{hijikata:trace,
1926
author={Hijikata, H.},
1927
title={Explicit formula of the traces
1928
of \protect{H}ecke operators for
1929
\protect{$\Gamma_0(N)$}},
1930
journal={J. Math. Soc. Japan},
1931
number={1},
1932
volume={26},
1933
year={1974},
1934
pages={56--82}
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}
1936
1937
@book {katzmazur,
1938
AUTHOR = {Katz, N.\thinspace{}M. and Mazur, B.},
1939
TITLE = {Arithmetic moduli of elliptic curves},
1940
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YEAR = {1985},
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PAGES = {xiv+514},
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ISBN = {0-691-08349-5, 0-691-08352-5},
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}
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@incollection {lenstra-smit:explicit,
1949
AUTHOR = {de Smit, B. and Lenstra, H.\thinspace{}W.,Jr.},
1950
TITLE = {Explicit construction of universal deformation rings},
1951
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ADDRESS = {New York},
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YEAR = {1997},
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}
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1959
@article {livne:conductors,
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AUTHOR = {Livn{\'e}, R.},
1961
TITLE = {On the conductors of mod \protect{$\ell$}
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\protect{G}alois representations coming
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from modular forms},
1964
JOURNAL = {J. Number Theory},
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YEAR = {1989},
1968
NUMBER = {2},
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ISSN = {0022-314X},
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CODEN = {JNUTA9},
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}
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@incollection {mazur:deforming,
1975
AUTHOR = {Mazur, B.},
1976
TITLE = {Deforming \protect{G}alois representations},
1977
BOOKTITLE = {Galois groups over \protect{${\bf Q}$} (Berkeley, CA, 1987)},
1978
PAGES = {385--437},
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PUBLISHER = {Springer},
1980
ADDRESS = {New York},
1981
YEAR = {1989},
1982
}
1983
1984
@article {mazur-ribet,
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AUTHOR = {Mazur, B. and Ribet, K.\thinspace{}A.},
1986
TITLE = {Two-dimensional representations in the arithmetic of modular
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curves},
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NOTE = {Courbes modulaires et courbes de Shimura (Orsay, 1987/1988)},
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1990
FJOURNAL = {Ast\'erisque},
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NUMBER = {196-197},
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YEAR = {1991},
1993
PAGES = {6, 215--255 (1992)},
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ISSN = {0303-1179},
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@article {ono:partition,
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TITLE = {The partition function and the arithmetic of certain
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modular \protect{$L$}-functions},
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JOURNAL = {International Mathematical Research Notes},
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NUMBER = {},
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YEAR = {1999},
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@book {MR89b:14029,
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@book{milne:duality,
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2021
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2024
YEAR = {1986},
2025
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}
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2029
@book {milne:etale,
2030
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2031
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2032
PUBLISHER = {Princeton University Press},
2033
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2034
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2035
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2036
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2037
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2039
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2040
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2041
2042
2043
@incollection {milne:abvars,
2044
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2045
TITLE = {Abelian varieties},
2046
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2049
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2050
YEAR = {1986},
2051
}
2052
2053
2054
2055
@incollection {rosen:abvars,
2056
AUTHOR = {Rosen, M.},
2057
TITLE = {Abelian varieties over \protect{${\bf {C}}$}},
2058
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2059
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2060
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2061
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2062
YEAR = {1986},
2063
}
2064
2065
@article{SAITO,
2066
author={Saito, T.},
2067
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2068
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volume={129},
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year={1997},
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@article {shimura:reciprocity,
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2079
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@book {shimura:intro,
2083
AUTHOR = {Shimura, G.},
2084
TITLE = {Introduction to the arithmetic theory of automorphic functions},
2085
NOTE = {Reprint of the 1971 original,
2086
Kan Memorial Lectures, 1},
2087
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2088
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ISBN = {0-691-08092-5},
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}
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@article {skinner-wiles:ordinary,
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AUTHOR = {Skinner, C.\thinspace{}M. and Wiles, A.\thinspace{}J.},
2096
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2097
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2105
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}
2107
2108
2109
@article{wiles:cmi,
2110
AUTHOR = {Wiles, A.\thinspace{}J.},
2111
TITLE = {The {B}irch and {S}winnerton-{D}yer {C}onjecture},
2112
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2113
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2114
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2115
2116
@article {wiles:fermat,
2117
AUTHOR = {Wiles, A.\thinspace{}J.},
2118
TITLE = {Modular elliptic curves and \protect{F}ermat's last theorem},
2119
JOURNAL = {Ann. of Math. (2)},
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2123
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2126
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2127
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2129
@article{breuil-conrad-diamond-taylor,
2130
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2131
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2132
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2133
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2134
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2135
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@article{conrad-diamond-taylor:modularity,
2138
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2139
TITLE = {Modularity of certain potentially
2140
\protect{B}arsotti-\protect{T}ate \protect{G}alois
2141
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2142
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2149
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2151
2152
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2154
@article {merel:weil,
2155
AUTHOR = {Merel, L.},
2156
TITLE = {L'accouplement de {W}eil entre le sous-groupe de {S}himura et
2157
le sous-groupe cuspidal de ${J}\sb 0(p)$},
2158
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2161
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2162
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2170
@article{merel:cyclo,
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author = {Merel, L.},
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title = {Sur la nature non-cyclotomique des points
2173
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2175
year = {1999}
2176
}
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2178
@inproceedings{merel:1585,
2179
AUTHOR = {Merel, L.},
2180
TITLE = {Universal \protect{F}ourier expansions of modular forms},
2181
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2182
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2183
PUBLISHER = {Springer},
2184
YEAR = {1994},
2185
}
2186
2187
@book {MR95i:11001,
2188
TITLE = {On {A}rtin's conjecture for odd 2-dimensional representations},
2189
EDITOR = {Frey, G.},
2190
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2191
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2192
YEAR = {1994},
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ISBN = {3-540-58387-4},
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2197
NOTE = {1585}
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}
2199
2200
@article{bdsbt,
2201
author={Buzzard, K. and Dickinson, M.
2202
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2203
title ={On icosahedral {A}rtin representations},
2204
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2209
@article{dickinson:thesis,
2210
author={Dickinson, M.},
2211
title={On the modularity of certain $2$-adic Galois representations},
2212
journal={Harvard Ph.D. thesis},
2213
year={2000}
2214
}
2215
2216
2217
@article{taylor-wiles:fermat,
2218
AUTHOR = {Taylor, R. and Wiles, A.\thinspace{}J.},
2219
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2220
JOURNAL = {Ann. of Math. (2)},
2221
FJOURNAL = {Annals of Mathematics. Second Series},
2222
VOLUME = {141},
2223
YEAR = {1995},
2224
NUMBER = {3},
2225
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2227
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2230
@article{ribet-stein:serre,
2231
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2254
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2785
AUTHOR = {Kolyvagin, V.\thinspace{}A. and Logachev, D.\thinspace{}Y.},
2786
TITLE = {Finiteness of the \protect{S}hafarevich-\protect{T}ate group and the group of
2787
rational points for some modular abelian varieties},
2788
JOURNAL = {Algebra i Analiz},
2789
FJOURNAL = {Algebra i Analiz},
2790
VOLUME = {1},
2791
YEAR = {1989},
2792
NUMBER = {5},
2793
PAGES = {171--196},
2794
ISSN = {0234-0852},
2795
}
2796
2797
@book {lang:ant,
2798
AUTHOR = {Lang, S.},
2799
TITLE = {Algebraic number theory},
2800
EDITION = {Second},
2801
PUBLISHER = {Springer-Verlag},
2802
ADDRESS = {New York},
2803
YEAR = {1994},
2804
PAGES = {xiv+357},
2805
ISBN = {0-387-94225-4},
2806
}
2807
2808
@book {lang:algebra,
2809
AUTHOR = {Lang, S.},
2810
TITLE = {Algebra},
2811
EDITION = {Third},
2812
PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.},
2813
YEAR = {1993},
2814
PAGES = {xv+912},
2815
ISBN = {0-201-55540-9},
2816
}
2817
2818
@book {miyake,
2819
AUTHOR = {Miyake, T.},
2820
TITLE = {Modular forms},
2821
NOTE = {Translated from the Japanese by Yoshitaka Maeda},
2822
PUBLISHER = {Springer-Verlag},
2823
ADDRESS = {Berlin},
2824
YEAR = {1989},
2825
PAGES = {x+335},
2826
ISBN = {3-540-50268-8},
2827
}
2828
2829
2830
@proceedings {MR86e:00018,
2831
TITLE = {Arbeitstagung {B}onn 1984},
2832
BOOKTITLE = {Proceedings of the 25th mathematical workshop held at the
2833
Max-Planck-Institut f\"ur Mathematik<