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@article{calegari-emerton:odd,
2
author = {Calegari, F. and Emerton, M.},
3
title = {Elliptic curves of odd modular degree},
4
journal = {Preprint},
5
year = {2005}
6
}
7
8
@article {MR1413578,
9
AUTHOR = {Schoof, R.},
10
TITLE = {Counting points on elliptic curves over finite fields},
11
NOTE = {Les Dix-huiti\`emes Journ\'ees Arithm\'etiques (Bordeaux,
12
1993)},
13
JOURNAL = {J. Th\'eor. Nombres Bordeaux},
14
FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
15
VOLUME = {7},
16
YEAR = {1995},
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NUMBER = {1},
18
PAGES = {219--254},
19
ISSN = {1246-7405},
20
MRCLASS = {11G20 (11Y50 14G15)},
21
MRNUMBER = {MR1413578 (97i:11070)},
22
MRREVIEWER = {Joseph H. Silverman},
23
}
24
25
@book {MR1659828,
26
AUTHOR = {Katz, Nicholas M. and Sarnak, Peter},
27
TITLE = {Random matrices, {F}robenius eigenvalues, and monodromy},
28
SERIES = {American Mathematical Society Colloquium Publications},
29
VOLUME = {45},
30
PUBLISHER = {American Mathematical Society},
31
ADDRESS = {Providence, RI},
32
YEAR = {1999},
33
PAGES = {xii+419},
34
ISBN = {0-8218-1017-0},
35
MRCLASS = {11G25 (11M06 11Y35 14D05 14G10 60F99 82B44)},
36
MRNUMBER = {MR1659828 (2000b:11070)},
37
MRREVIEWER = {Philippe G. Michel},
38
}
39
40
@article {oMR1930670,
41
AUTHOR = {Granville, Andrew and Tucker, Thomas J.},
42
TITLE = {It's as easy as {$abc$}},
43
JOURNAL = {Notices Amer. Math. Soc.},
44
FJOURNAL = {Notices of the American Mathematical Society},
45
VOLUME = {49},
46
YEAR = {2002},
47
NUMBER = {10},
48
PAGES = {1224--1231},
49
ISSN = {0002-9920},
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CODEN = {AMNOAN},
51
MRCLASS = {11D61 (11D41 11G30 11J86 11M20)},
52
MRNUMBER = {MR1930670 (2003f:11044)},
53
MRREVIEWER = {Yuri Bilu},
54
}
55
56
57
@misc{cprw,
58
author = {Conrey, J.~B. and Pokharel, A. and Rubinstein, M.~O. and
59
Watkins, M.},
60
title = {Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions\\
61
{\tt http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:math/0509059}},
62
year = {2005}
63
}
64
65
@book{katz-sarnak,
66
author = {Katz, N. and Sarnak, P.},
67
title = {Random Matrices, Frobenius Eigenvalues, and Monodromy (Colloquium Publications (Amer Mathematical Soc))},
68
year = {1999}
69
}
70
71
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@article {MR1317641,
73
AUTHOR = {Coleman, Robert F. and Gouv{\^e}a, Fernando Q. and Jochnowitz,
74
Naomi},
75
TITLE = {{$E\sb 2$}, {$\Theta$}, and overconvergence},
76
JOURNAL = {Internat. Math. Res. Notices},
77
FJOURNAL = {International Mathematics Research Notices},
78
YEAR = {1995},
79
NUMBER = {1},
80
PAGES = {23--41 (electronic)},
81
ISSN = {1073-7928},
82
MRCLASS = {11F33 (11F85)},
83
MRNUMBER = {MR1317641 (96d:11047)},
84
MRREVIEWER = {Andrea Mori},
85
}
86
87
@article {MR1977007,
88
AUTHOR = {Greenberg, Ralph},
89
TITLE = {Galois theory for the {S}elmer group of an abelian variety},
90
JOURNAL = {Compositio Math.},
91
FJOURNAL = {Compositio Mathematica},
92
VOLUME = {136},
93
YEAR = {2003},
94
NUMBER = {3},
95
PAGES = {255--297},
96
ISSN = {0010-437X},
97
CODEN = {CMPMAF},
98
MRCLASS = {11G10 (11G05 11R23 11R34)},
99
MRNUMBER = {MR1977007 (2004c:11097)},
100
MRREVIEWER = {Vinayak Vatsal},
101
}
102
103
104
@article {MR1740990,
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AUTHOR = {Wan, Daqing},
106
TITLE = {Dwork's conjecture on unit root zeta functions},
107
JOURNAL = {Ann. of Math. (2)},
108
FJOURNAL = {Annals of Mathematics. Second Series},
109
VOLUME = {150},
110
YEAR = {1999},
111
NUMBER = {3},
112
PAGES = {867--927},
113
ISSN = {0003-486X},
114
CODEN = {ANMAAH},
115
MRCLASS = {11G40 (11G25 14F30 14G10 14G15)},
116
MRNUMBER = {MR1740990 (2001a:11108)},
117
MRREVIEWER = {Yuichiro Taguchi},
118
}
119
120
121
@article {MR2122612,
122
AUTHOR = {Joyce, Adam},
123
TITLE = {The {M}anin constant of an optimal quotient of {$J\sb
124
0(431)$}},
125
JOURNAL = {J. Number Theory},
126
FJOURNAL = {Journal of Number Theory},
127
VOLUME = {110},
128
YEAR = {2005},
129
NUMBER = {2},
130
PAGES = {325--330},
131
ISSN = {0022-314X},
132
CODEN = {JNUTA9},
133
MRCLASS = {11G10 (11F33 11G18)},
134
MRNUMBER = {MR2122612},
135
MRREVIEWER = {Mihran Papikian},
136
}
137
138
@incollection {MR2088713,
139
AUTHOR = {Flach, Matthias},
140
TITLE = {The equivariant {T}amagawa number conjecture: a survey},
141
BOOKTITLE = {Stark's conjectures: recent work and new directions},
142
SERIES = {Contemp. Math.},
143
VOLUME = {358},
144
PAGES = {79--125},
145
NOTE = {With an appendix by C.\ Greither},
146
PUBLISHER = {Amer. Math. Soc.},
147
ADDRESS = {Providence, RI},
148
YEAR = {2004},
149
MRCLASS = {11G40 (11G18 11R23 11R33)},
150
MRNUMBER = {MR2088713},
151
MRREVIEWER = {Nigel Byott},
152
}
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154
155
@book {MR2090725,
156
TITLE = {Stark's conjectures: recent work and new directions},
157
SERIES = {Contemporary Mathematics},
158
VOLUME = {358},
159
EDITOR = {Burns, David and Sands, Jonathan},
160
NOTE = {Papers from the International Conference on Stark's
161
Conjectures and Related Topics held at Johns Hopkins
162
University, Baltimore, MD, August 5--9, 2002},
163
PUBLISHER = {American Mathematical Society},
164
ADDRESS = {Providence, RI},
165
YEAR = {2004},
166
PAGES = {x+221},
167
ISBN = {0-8218-3480-0},
168
MRCLASS = {11-06 (11R42)},
169
MRNUMBER = {MR2090725 (2005d:11004)},
170
}
171
172
173
@article {MR2135139,
174
AUTHOR = {Vatsal, V.},
175
TITLE = {Multiplicative subgroups of {$J\sb 0(N)$} and applications to
176
elliptic curves},
177
JOURNAL = {J. Inst. Math. Jussieu},
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FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
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Journal de l'Institute de Math\'ematiques de Jussieu},
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VOLUME = {4},
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YEAR = {2005},
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NUMBER = {2},
183
PAGES = {281--316},
184
ISSN = {1474-7480},
185
MRCLASS = {11G05 (11G18)},
186
MRNUMBER = {MR2135139},
187
}
188
189
@article{bluher:formal,
190
author={Bluher, Antonia W.},
191
title = {A {L}eisurely {I}ntroduction to {F}ormal {G}roups
192
and {E}lliptic {C}urves,\\
193
{\tt http://www.math.uiuc.edu/Algebraic-Number-Theory/0076/}}
194
}
195
196
197
198
@incollection {MR1263527,
199
AUTHOR = {Nekov{\'a}{\v{r}}, Jan},
200
TITLE = {On {$p$}-adic height pairings},
201
BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, Paris, 1990--91},
202
SERIES = {Progr. Math.},
203
VOLUME = {108},
204
PAGES = {127--202},
205
PUBLISHER = {Birkh\"auser Boston},
206
ADDRESS = {Boston, MA},
207
YEAR = {1993},
208
MRCLASS = {11G09 (11F85 14F30)},
209
MRNUMBER = {MR1263527 (95j:11050)},
210
MRREVIEWER = {Abdellah Mokrane},
211
}
212
213
214
215
@book {MR1263519,
216
TITLE = {S\'eminaire de {T}h\'eorie des {N}ombres, {P}aris, 1990--91},
217
SERIES = {Progress in Mathematics},
218
VOLUME = {108},
219
EDITOR = {David, Sinnou},
220
NOTE = {Papers from the seminar held in Paris, 1990--1991},
221
PUBLISHER = {Birkh\"auser Boston Inc.},
222
ADDRESS = {Boston, MA},
223
YEAR = {1993},
224
PAGES = {vi+282},
225
ISBN = {0-8176-3684-6},
226
MRCLASS = {11-06},
227
MRNUMBER = {MR1263519 (94i:11005)},
228
}
229
230
@incollection {MR1042777,
231
AUTHOR = {Zarhin, Yuri G.},
232
TITLE = {{$p$}-adic heights on abelian varieties},
233
BOOKTITLE = {S\'eminaire de Th\'eorie des Nombres, Paris 1987--88},
234
SERIES = {Progr. Math.},
235
VOLUME = {81},
236
PAGES = {317--341},
237
PUBLISHER = {Birkh\"auser Boston},
238
ADDRESS = {Boston, MA},
239
YEAR = {1990},
240
MRCLASS = {11G10 (14K15)},
241
MRNUMBER = {MR1042777 (91f:11043)},
242
MRREVIEWER = {Michel Gros},
243
}
244
245
246
@book {MR1042761,
247
TITLE = {S\'eminaire de {T}h\'eorie des {N}ombres, {P}aris 1987--88},
248
SERIES = {Progress in Mathematics},
249
VOLUME = {81},
250
EDITOR = {Goldstein, Catherine},
251
NOTE = {Papers from the seminar held in Paris, 1987--88},
252
PUBLISHER = {Birkh\"auser Boston Inc.},
253
ADDRESS = {Boston, MA},
254
YEAR = {1990},
255
PAGES = {viii+350},
256
ISBN = {0-8176-3458-4},
257
MRCLASS = {11-06},
258
MRNUMBER = {MR1042761 (90j:11004)},
259
}
260
261
262
@incollection {MR1299736,
263
AUTHOR = {Plater, Andrew},
264
TITLE = {Supersingular {$p$}-adic height pairings on elliptic curves},
265
BOOKTITLE = {Arithmetic geometry (Tempe, AZ, 1993)},
266
SERIES = {Contemp. Math.},
267
VOLUME = {174},
268
PAGES = {95--105},
269
PUBLISHER = {Amer. Math. Soc.},
270
ADDRESS = {Providence, RI},
271
YEAR = {1994},
272
MRCLASS = {11G07 (11G05)},
273
MRNUMBER = {MR1299736 (95h:11056)},
274
MRREVIEWER = {Jan Nekov{\'a}{\v{r}}},
275
}
276
277
278
@book {MR1299731,
279
TITLE = {Arithmetic geometry},
280
SERIES = {Contemporary Mathematics},
281
VOLUME = {174},
282
EDITOR = {Childress, Nancy and Jones, John W.},
283
NOTE = {Papers from the Conference on Arithmetic Geometry with an
284
Emphasis on Iwasawa Theory held at Arizona State University,
285
Tempe, Arizona, March 15--18, 1993},
286
PUBLISHER = {American Mathematical Society},
287
ADDRESS = {Providence, RI},
288
YEAR = {1994},
289
PAGES = {x+220},
290
ISBN = {0-8218-5174-8},
291
MRCLASS = {11-06 (11Fxx 11Gxx)},
292
MRNUMBER = {MR1299731 (95d:11002)},
293
}
294
295
296
@article {MR1091621,
297
AUTHOR = {Coleman, Robert F.},
298
TITLE = {The universal vectorial bi-extension and {$p$}-adic heights},
299
JOURNAL = {Invent. Math.},
300
FJOURNAL = {Inventiones Mathematicae},
301
VOLUME = {103},
302
YEAR = {1991},
303
NUMBER = {3},
304
PAGES = {631--650},
305
ISSN = {0020-9910},
306
CODEN = {INVMBH},
307
MRCLASS = {14F30 (14K15)},
308
MRNUMBER = {MR1091621 (92k:14021)},
309
MRREVIEWER = {Gerd Faltings},
310
}
311
312
313
@article {MR2021039,
314
AUTHOR = {Iovita, Adrian and Werner, Annette},
315
TITLE = {{$p$}-adic height pairings on abelian varieties with
316
semistable ordinary reduction},
317
JOURNAL = {J. Reine Angew. Math.},
318
FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
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VOLUME = {564},
320
YEAR = {2003},
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PAGES = {181--203},
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ISSN = {0075-4102},
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CODEN = {JRMAA8},
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MRCLASS = {11G50 (11G10 14F40 14K15)},
325
MRNUMBER = {MR2021039 (2004j:11066)},
326
MRREVIEWER = {Alessandra Bertapelle},
327
}
328
329
@incollection {MR2076563,
330
AUTHOR = {Besser, Amnon},
331
TITLE = {The {$p$}-adic height pairings of {C}oleman-{G}ross and of
332
{N}ekov\'a\v r},
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BOOKTITLE = {Number theory},
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SERIES = {CRM Proc. Lecture Notes},
335
VOLUME = {36},
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PAGES = {13--25},
337
PUBLISHER = {Amer. Math. Soc.},
338
ADDRESS = {Providence, RI},
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YEAR = {2004},
340
MRCLASS = {11G50 (11G25 11G30)},
341
MRNUMBER = {MR2076563 (2005f:11130)},
342
MRREVIEWER = {Mark Kisin},
343
}
344
345
346
@book {MR2070918,
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TITLE = {Number theory},
348
SERIES = {CRM Proceedings \& Lecture Notes},
349
VOLUME = {36},
350
EDITOR = {Kisilevsky, Hershy and Goren, Eyal Z.},
351
NOTE = {Papers from the 7th Conference of the Canadian Number Theory
352
Association held at the University of Montreal, Montreal, QC,
353
May 19--25, 2002},
354
PUBLISHER = {American Mathematical Society},
355
ADDRESS = {Providence, RI},
356
YEAR = {2004},
357
PAGES = {xiv+303},
358
ISBN = {0-8218-3331-6},
359
MRCLASS = {11-06},
360
MRNUMBER = {MR2070918 (2005b:11004)},
361
}
362
363
@article {perrin-riou:expmath,
364
AUTHOR = {Perrin-Riou, Bernadette},
365
TITLE = {Arithm\'etique des courbes elliptiques \`a r\'eduction
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supersinguli\`ere en {$p$}},
367
JOURNAL = {Experiment. Math.},
368
FJOURNAL = {Experimental Mathematics},
369
VOLUME = {12},
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YEAR = {2003},
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NUMBER = {2},
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PAGES = {155--186},
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ISSN = {1058-6458},
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MRCLASS = {11G40 (11G05 11R23)},
375
MRNUMBER = {MR2016704 (2005h:11138)},
376
}
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378
@article {mazur-tate:refined,
379
AUTHOR = {Mazur, B. and Tate, J.},
380
TITLE = {Refined conjectures of the ``{B}irch and {S}winnerton-{D}yer
381
type''},
382
JOURNAL = {Duke Math. J.},
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FJOURNAL = {Duke Mathematical Journal},
384
VOLUME = {54},
385
YEAR = {1987},
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NUMBER = {2},
387
PAGES = {711--750},
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ISSN = {0012-7094},
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CODEN = {DUMJAO},
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MRCLASS = {11G40 (11G05 14G25 14K15)},
391
MRNUMBER = {MR899413 (88k:11039)},
392
MRREVIEWER = {Karl Rubin},
393
}
394
395
@article {wuthrich:heightfamily,
396
AUTHOR = {Wuthrich, Christian},
397
TITLE = {On {$p$}-adic heights in families of elliptic curves},
398
JOURNAL = {J. London Math. Soc. (2)},
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FJOURNAL = {Journal of the London Mathematical Society. Second Series},
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VOLUME = {70},
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YEAR = {2004},
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NUMBER = {1},
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PAGES = {23--40},
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ISSN = {0024-6107},
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CODEN = {JLMSAK},
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MRCLASS = {11G50 (11G05)},
407
MRNUMBER = {MR2064750},
408
}
409
410
@article {schneider:height1,
411
AUTHOR = {Schneider, Peter},
412
TITLE = {{$p$}-adic height pairings. {I}},
413
JOURNAL = {Invent. Math.},
414
FJOURNAL = {Inventiones Mathematicae},
415
VOLUME = {69},
416
YEAR = {1982},
417
NUMBER = {3},
418
PAGES = {401--409},
419
ISSN = {0020-9910},
420
CODEN = {INVMBH},
421
MRCLASS = {14K15 (12A70 14G25)},
422
MRNUMBER = {MR679765 (84e:14034)},
423
MRREVIEWER = {Reinhard B{\"o}lling},
424
}
425
426
@article {schneider:height2,
427
AUTHOR = {Schneider, Peter},
428
TITLE = {{$p$}-adic height pairings. {II}},
429
JOURNAL = {Invent. Math.},
430
FJOURNAL = {Inventiones Mathematicae},
431
VOLUME = {79},
432
YEAR = {1985},
433
NUMBER = {2},
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PAGES = {329--374},
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ISSN = {0020-9910},
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CODEN = {INVMBH},
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MRCLASS = {11G10 (11G40 11R23 14G25)},
438
MRNUMBER = {MR778132 (86j:11063)},
439
MRREVIEWER = {Reinhard B{\"o}lling},
440
}
441
442
443
@incollection {mazur-tate:canonical,
444
AUTHOR = {Mazur, B. and Tate, J.},
445
TITLE = {Canonical height pairings via biextensions},
446
BOOKTITLE = {Arithmetic and geometry, Vol. I},
447
SERIES = {Progr. Math.},
448
VOLUME = {35},
449
PAGES = {195--237},
450
PUBLISHER = {Birkh\"auser Boston},
451
ADDRESS = {Boston, MA},
452
YEAR = {1983},
453
MRCLASS = {14K15 (11G10 11G35 14G25)},
454
MRNUMBER = {MR717595 (85j:14081)},
455
MRREVIEWER = {Yu. G. Zarkhin},
456
}
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@book {MR717602,
458
TITLE = {Arithmetic and geometry. {V}ol. {II}},
459
SERIES = {Progress in Mathematics},
460
VOLUME = {36},
461
EDITOR = {Artin, Michael and Tate, John},
462
NOTE = {Geometry,
463
Papers dedicated to I. R. Shafarevich on the occasion of his
464
sixtieth birthday},
465
PUBLISHER = {Birkh\"auser Boston},
466
ADDRESS = {Mass.},
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YEAR = {1983},
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PAGES = {vi+481},
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ISBN = {3-7643-3133-X},
470
MRCLASS = {14-06},
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MRNUMBER = {MR717602 (84j:14005b)},
472
}
473
@book {MR717586,
474
TITLE = {Arithmetic and geometry. {V}ol. {I}},
475
SERIES = {Progress in Mathematics},
476
VOLUME = {35},
477
EDITOR = {Artin, Michael and Tate, John},
478
NOTE = {Arithmetic,
479
Papers dedicated to I. R. Shafarevich on the occasion of his
480
sixtieth birthday},
481
PUBLISHER = {Birkh\"auser Boston},
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ADDRESS = {Mass.},
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YEAR = {1983},
484
PAGES = {vi+359},
485
ISBN = {3-7643-3132-1},
486
MRCLASS = {14-06 (10-06 12-06)},
487
MRNUMBER = {MR717586 (84j:14005a)},
488
}
489
490
491
@incollection {katz:padicprop,
492
AUTHOR = {Katz, Nicholas M.},
493
TITLE = {{$p$}-adic properties of modular schemes and modular forms},
494
BOOKTITLE = {Modular functions of one variable, III (Proc. Internat. Summer
495
School, Univ. Antwerp, Antwerp, 1972)},
496
PAGES = {69--190. Lecture Notes in Mathematics, Vol. 350},
497
PUBLISHER = {Springer},
498
ADDRESS = {Berlin},
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YEAR = {1973},
500
MRCLASS = {10D15 (14D20)},
501
MRNUMBER = {MR0447119 (56 \#5434)},
502
MRREVIEWER = {V. V. Sokurov},
503
}
504
505
@book {MR0323724,
506
TITLE = {Modular functions of one variable. {III}},
507
BOOKTITLE = {Proceedings of the International Summer School, University of
508
Antwerp, RUCA, July 17--August 3, 1972},
509
EDITOR = {Kuyk, Willem and Serre, J.-P.},
510
NOTE = {Lecture Notes in Mathematics, Vol. 350},
511
PUBLISHER = {Springer-Verlag},
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ADDRESS = {Berlin},
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YEAR = {1973},
514
PAGES = {iv+350},
515
MRCLASS = {10D05 (14K22)},
516
MRNUMBER = {MR0323724 (48 \#2080)},
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}
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519
@article {malle:distro,
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AUTHOR = {Malle, G.},
521
TITLE = {On the distribution of {G}alois groups},
522
JOURNAL = {J. Number Theory},
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FJOURNAL = {Journal of Number Theory},
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VOLUME = {92},
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YEAR = {2002},
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NUMBER = {2},
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PAGES = {315--329},
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ISSN = {0022-314X},
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CODEN = {JNUTA9},
530
MRCLASS = {12F12 (11R32 11R47 12F10)},
531
MRNUMBER = {MR1884706 (2002k:12010)},
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MRREVIEWER = {Helmut V{\"o}lklein},
533
}
534
535
536
537
@article {malle:distro2,
538
AUTHOR = {Malle, G.},
539
TITLE = {On the distribution of {G}alois groups. {II}},
540
JOURNAL = {Experiment. Math.},
541
FJOURNAL = {Experimental Mathematics},
542
VOLUME = {13},
543
YEAR = {2004},
544
NUMBER = {2},
545
PAGES = {129--135},
546
ISSN = {1058-6458},
547
MRCLASS = {11R32 (11R47 12F10)},
548
MRNUMBER = {MR2068887 (2005g:11216)},
549
MRREVIEWER = {F. Diaz y Diaz},
550
}
551
552
@incollection {cohen-diaz-olivier:disc,
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AUTHOR = {Cohen, Henri and Diaz y Diaz, Francisco and Olivier, Michel},
554
TITLE = {Counting discriminants of number fields of degree up to four},
555
BOOKTITLE = {Algorithmic number theory (Leiden, 2000)},
556
SERIES = {Lecture Notes in Comput. Sci.},
557
VOLUME = {1838},
558
PAGES = {269--283},
559
PUBLISHER = {Springer},
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572
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749
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799
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832
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833
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857
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875
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PAGES = {455--474 (electronic)},
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1127
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1136
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1141
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1142
EDITOR = {Conrad, Brian and Rubin, Karl},
1143
NOTE = {Including papers from the Graduate Summer School of the
1144
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1146
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1147
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1148
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1149
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1151
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1152
MRNUMBER = {MR1860012 (2002d:11003)},
1153
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1158
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1159
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1164
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1165
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1166
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1169
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1182
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1183
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1269
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1279
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1480
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1481
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1482
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1521
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1559
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1569
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1571
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1572
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1573
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1574
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1600
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1601
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1602
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1614
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1627
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1628
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1643
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@article {agashe-stein:bsd,
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AUTHOR = {Agashe, A. and Stein, W.},
1656
TITLE = {Visible evidence for the {B}irch and {S}winnerton-{D}yer
1657
conjecture for modular abelian varieties of analytic rank
1658
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1659
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1660
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1664
NUMBER = {249},
1665
PAGES = {455--484 (electronic)},
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ISSN = {0025-5718},
1667
CODEN = {MCMPAF},
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MRCLASS = {11G40 (11G10)},
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MRNUMBER = {2085902},
1670
}
1671
1672
1673
@Article{ agashe-ribet-stein:manin,
1674
author = "Agashe, A. and Ribet, K.\thinspace{}A. and
1675
Stein, W.\thinspace{}A.",
1676
title = "The {M}anin {C}onstant, {C}ongruence {P}rimes,
1677
and the {M}odular {D}egree",
1678
year = {2005},
1679
journal = {Preprint,\hfill\\ {\tt
1680
http://modular.fas.harvard.edu/papers/manin-agashe/}}
1681
}
1682
@article {lario-schoof,
1683
AUTHOR = {Lario, Joan-C. and Schoof, Ren{\'e}},
1684
TITLE = {Some computations with {H}ecke rings and deformation rings},
1685
NOTE = {With an appendix by Amod Agashe and William Stein},
1686
JOURNAL = {Experiment. Math.},
1687
FJOURNAL = {Experimental Mathematics},
1688
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1689
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1690
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1691
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1693
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1694
MRNUMBER = {MR1959271 (2004b:11072)},
1695
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1696
}
1697
1698
1699
@Article{ agashe-stein:visibility,
1700
author = {Agashe, A. and Stein, W.\thinspace{}A.},
1701
title = {Visibility of {S}hafarevich-{T}ate groups of abelian
1702
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1703
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1704
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1705
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1706
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1707
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1709
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1710
coden = {JNUTA9},
1711
mrclass = {11G40 (11G10 14K15)},
1712
mrreviewer = {Chandan Singh Dalawat}
1713
}
1714
1715
@Article{ agashe:invisible,
1716
author = {Agash{\'e}, Amod},
1717
title = {On invisible elements of the {T}ate-{S}hafarevich group},
1718
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
1719
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
1720
Math\'ematique},
1721
volume = {328},
1722
year = {1999},
1723
number = {5},
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pages = {369--374},
1725
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1726
coden = {CASMEI},
1727
mrclass = {11G40 (11G10 11G18)},
1728
mrnumber = {2000e:11083},
1729
mrreviewer = {Kenneth Kramer}
1730
}
1731
1732
@Article{ agashe:phd,
1733
author = "Agashe, A.",
1734
title = {The {B}irch and {S}winnerton-{D}yer formula for modular
1735
abelian varieties of analytic rank~$0$},
1736
journal = {Ph.D. thesis, University of California, Berkeley},
1737
year = {2000}
1738
}
1739
1740
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1741
title = {Modular functions of one variable. {I}{V}},
1742
booktitle = {Proceedings of the International Summer School on Modular
1743
Functions of One Variable and Arithmetical Applications,
1744
RUCA, University of Antwerp, Antwerp, July 17--August 3,
1745
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1746
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1747
note = {Lecture Notes in Mathematics, Vol. 476},
1748
publisher = {Springer-Verlag},
1749
address = {Berlin},
1750
year = {1975},
1751
pages = {iv+151}
1752
}
1753
1754
@Article{ artin:conjecture,
1755
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1756
title = {{\"U}ber eine neue {A}rt von {L}-Reihen},
1757
journal = {Abh. Math. Sem. Univ. Hamburg},
1758
volume = {3},
1759
year = {1923},
1760
pages = {89--108}
1761
}
1762
1763
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1764
author = {Artin, E},
1765
title = {Zur {T}heorie der {L}-{R}eihen mit allgemeinen
1766
{G}ruppencharakteren},
1767
journal = {Abh. math. Semin. Univ. Hamburg},
1768
volume = {8},
1769
year = {1930},
1770
pages = {292--306}
1771
}
1772
1773
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1774
author = {Ash, A. and Stevens, G.},
1775
title = {Cohomology of arithmetic groups and congruences between
1776
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1777
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1778
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1779
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1780
year = {1986},
1781
pages = {192--220},
1782
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1783
coden = {JRMAA8}
1784
}
1785
1786
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1787
author = {Atkin, A.\thinspace{}O.\thinspace{}L. and Lehner, J.},
1788
title = {Hecke operators on \protect{$\Gamma \sb{0}(m)$}},
1789
journal = {Math. Ann.},
1790
volume = {185},
1791
year = {1970},
1792
pages = {134--160}
1793
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1794
1795
@article {bdsbt,
1796
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1797
and Taylor, Richard},
1798
TITLE = {On icosahedral {A}rtin representations},
1799
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1808
MRNUMBER = {MR1845181 (2002k:11078)},
1809
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1810
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1811
1812
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1813
author = {Bosch, S. and G{\"u}ntzer, U. and Remmert, R.},
1814
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1815
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1816
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1817
address = {Berlin},
1818
year = {1984},
1819
pages = {xii+436},
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1821
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1823
mrrevr = {W. Bartenwerfer}
1824
}
1825
1826
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1827
author = {Birch, B.},
1828
title = {Atkin and the {A}tlas {L}ab},
1829
booktitle = {Proceedings of the conference in honor of
1830
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1831
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1832
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1833
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1834
address = {Providence, RI},
1835
year = {1998},
1836
mrclass = {11-03 (01A60 11F30 11F33)},
1837
mrnumber = {99c:11002},
1838
mrrevr = {V. Kumar Murty}
1839
}
1840
1841
1842
@InCollection{ birch:bsd,
1843
author = {Birch, B.\thinspace{}J.},
1844
title = {Elliptic curves over \protect{${\mathbf{Q}}$: {A}}
1845
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1846
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1848
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1849
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1850
address = {Providence, R.I.},
1851
year = {1971}
1852
}
1853
1854
@InCollection{ birch:cyclo,
1855
author = {Birch, B.\thinspace{}J.},
1856
title = {Cyclotomic fields and {K}ummer extensions},
1857
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
1858
Brighton, 1965)},
1859
pages = {85--93},
1860
publisher = {Thompson, Washington, D.C.},
1861
year = {1967}
1862
}
1863
1864
@InCollection{ birch:edsac,
1865
author = {Birch, B. J.},
1866
title = {Conjectures concerning elliptic curves},
1867
booktitle = {Proceedings of Symposia in Pure Mathematics, VIII},
1868
pages = {106--112},
1869
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1870
address = {Providence, R.I.},
1871
year = {1965},
1872
mrclass = {14.49 (14.40)},
1873
mrnumber = {30 \#4759},
1874
mrreviewer = {J. W. S. Cassels}
1875
}
1876
1877
@InCollection{ birch:hecke_actions,
1878
author = {Birch, B. J.},
1879
title = {Hecke actions on classes of ternary quadratic forms},
1880
booktitle = {Computational number theory (Debrecen, 1989)},
1881
pages = {191--212},
1882
publisher = {de Gruyter},
1883
address = {Berlin},
1884
year = {1991},
1885
mrclass = {11E45 (11E20 11F11 11G05 11Y35)},
1886
mrnumber = {93i:11047},
1887
mrrevr = {Rainer Schulze-Pillot}
1888
}
1889
1890
@InCollection{ bloch-kato,
1891
author = {Bloch, S. and Kato, K.},
1892
title = {\protect{${L}$}-functions and \protect{T}amagawa numbers
1893
of motives},
1894
booktitle = {The Grothendieck Festschrift, Vol. \protect{I}},
1895
pages = {333--400},
1896
publisher = {Birkh\"auser Boston},
1897
address = {Boston, MA},
1898
year = {1990}
1899
}
1900
1901
@Article{ bockle:density,
1902
author = {B{\"o}ckle, Gebhard},
1903
title = {On the density of modular points in universal deformation
1904
spaces},
1905
journal = {Amer. J. Math.},
1906
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1907
volume = {123},
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year = {2001},
1909
number = {5},
1910
pages = {985--1007},
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issn = {0002-9327},
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coden = {AJMAAN},
1913
mrclass = {11F80},
1914
mrnumber = {1 854 117}
1915
}
1916
1917
@Article{ bolling:sha,
1918
author = {B{\"o}lling, Reinhard},
1919
title = {Die {O}rdnung der {S}chafarewitsch-{T}ate-{G}ruppe kann
1920
beliebig gro\ss \ werden},
1921
journal = {Math. Nachr.},
1922
volume = {67},
1923
year = {1975},
1924
pages = {157--179},
1925
mrclass = {14K15},
1926
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1927
mrreviewer = {J. W. S. Cassels}
1928
}
1929
1930
@Proceedings{ boston,
1931
title = {Modular forms and \protect{F}ermat's last theorem
1932
(Boston,MA, 1995)},
1933
editor = {Cornell, G. and Silverman, J.\thinspace{}H. and Stevens,
1934
G.},
1935
note = {Papers from the Instructional Conference on Number Theory
1936
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1937
MA, August 9--18, 1995},
1938
publisher = {Springer-Verlag},
1939
address = {New York},
1940
year = {1997},
1941
pages = {xx+582},
1942
isbn = {0-387-94609-8}
1943
}
1944
1945
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1946
author = {N. Boston and \protect{H.\thinspace{}W. Lenstra, Jr.} and
1947
K.\thinspace{}A. Ribet},
1948
title = {Quotients of group rings arising from two-dimensional
1949
representations},
1950
journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
1951
fjournal = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
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Math\'ematique},
1953
volume = {312},
1954
year = {1991},
1955
number = {4},
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pages = {323--328},
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issn = {0764-4442},
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coden = {CASMEI}
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}
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@Article{ breuil-conrad-diamond-taylor,
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author = {Breuil, C. and Conrad, B. and Diamond, F. and Taylor, R.},
1963
title = {On the modularity of elliptic curves over {$\bold Q$}:
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1965
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mrreviewer = {Karl Rubin}
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@Article{ brue,
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author = {Brueggeman, S.},
1979
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1980
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1981
journal = {Journal of Number Theory},
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year = {1999},
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pages = {47--52}
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@Article{ brumer-mcguinness,
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author = {Brumer, A. and McGuinness, O.},
1989
title = {The behavior of the {M}ordell-{W}eil group of elliptic
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1991
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note = {Data at \protect{\tt http://oisinmc.com/math/310716/}}
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note = {Columbia University Number Theory Seminar (New York,
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@Article{ buhler-gross,
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@Book{ buhler:thesis,
2033
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isbn = {3-540-08844-X}
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2043
@article {bump-friedberg-hoffstein:nonvanishing,
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AUTHOR = {Bump, Daniel and Friedberg, Solomon and Hoffstein, Jeffrey},
2045
TITLE = {Nonvanishing theorems for {$L$}-functions of modular forms and
2046
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2047
JOURNAL = {Invent. Math.},
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YEAR = {1990},
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}
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2061
author = {Bump, D. and Friedberg, S. and Hoffstein, J.},
2062
title = {Eisenstein series on the metaplectic group and
2063
nonvanishing theorems for automorphic
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\protect{${L}$}-functions and their derivatives},
2065
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@Article{ buzzard-stein:artin,
2076
author = {Buzzard, K. and Stein, W.\thinspace{}A.},
2077
title = {A mod five approach to modularity of icosahedral {G}alois
2078
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2079
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2089
mrreviewer = {Mark Edward Tristan Dickinson}
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}
2091
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@Article{ buzzard-taylor,
2093
author = {Buzzard, K. and Taylor, R.},
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2095
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year = {1999},
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mrnumber = {1 709 306}
2105
}
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2107
@Article{ buzzard:level,
2108
author = {Buzzard, K.},
2109
title = {On level-lowering for mod 2 representations},
2110
journal = {preprint}
2111
}
2112
2113
@Article{ buzzard:t2,
2114
author = {Buzzard, Kevin},
2115
title = {On the eigenvalues of the {H}ecke operator {$T\sb 2$}},
2116
journal = {J. Number Theory},
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volume = {57},
2119
year = {1996},
2120
number = {1},
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mrnumber = {96m:11033},
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mrreviewer = {Thomas R. Shemanske}
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}
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@Article{ carayol:modell,
2130
author = {Carayol, H.},
2131
title = {Sur les \protect{repr\'esentations} galoisiennes modulo
2132
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2133
journal = {Duke Math. J.},
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volume = {59},
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year = {1989},
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pages = {785--801}
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}
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@Article{ carearly,
2140
author = "Carayol, H.",
2141
title = {Sur les \protect{repr\'esentations}
2142
\protect{$\ell$-adiques} \protect{associ\'ees} aux formes
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modulaires de \protect{Hilbert}},
2144
journal = {Ann. scient. \protect{\'Ec.} Norm. Sup., \protect{$4^{\rm
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2146
volume = {19},
2147
year = {1986},
2148
pages = {409--468}
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}
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title = {On representations of \protect{${\rm {G}{L}}\sb{2}$} and
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the arithmetic of modular curves},
2155
booktitle = {Modular functions of one variable, II (Proc. Internat.
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Summer School, Univ. Antwerp, Antwerp, 1972)},
2157
pages = {107--141. Lecture Notes in Math., Vol. 349},
2158
publisher = {Springer},
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address = {Berlin},
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2164
author = {Cassels, J.\thinspace{}W.\thinspace{}S. and Flynn,
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E.\thinspace{}V.},
2166
title = {Prolegomena to a middlebrow arithmetic of curves of genus
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year = {1996},
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pages = {xiv+219},
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mrrevr = {Joseph H. Silverman}
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2178
@Proceedings{ cassels-frohlich,
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title = {Algebraic number theory},
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booktitle = {Proceedings of the instructional conference held at the
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University of Sussex, Brighton, September 1--17, 1965},
2182
editor = {Cassels, J.\thinspace{}W.\thinspace{}S. and
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2184
note = {Reprint of the 1967 original},
2185
publisher = {Academic Press Inc. [Harcourt Brace Jovanovich
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2187
address = {London},
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year = {1986},
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pages = {xviii+366},
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isbn = {0-12-163251-2}
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author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
2195
title = {{A}rithmetic on curves of genus $1$. {I}{I}{I}. {T}he
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{T}ate-\v {S}afarevi\v c and {S}elmer groups},
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year = {1962},
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pages = {259--296},
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mrclass = {14.49},
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2205
@Article{ cassels:arithmeticiv,
2206
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
2207
title = {Arithmetic on curves of genus \protect{$1$}. {I}{V}.
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{P}roof of the {H}auptvermutung},
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@Article{ cassels:arithmeticv,
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author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
2217
title = {Arithmetic on curves of genus 1. {V}. {T}wo
2218
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volume = {38},
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year = {1963},
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pages = {244--248}
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}
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@Article{ cassels:bigsha,
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author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
2227
title = {Arithmetic on curves of genus $1$. {V}{I}. {T}he {T}ate-\v
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{S}afarevi\v c group can be arbitrarily large},
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journal = {J. Reine Angew. Math.},
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volume = {214/215},
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year = {1964},
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pages = {65--70},
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mrclass = {14.49 (10.12)},
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mrnumber = {29 \#104},
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mrreviewer = {P. Abellanas}
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}
2237
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@Article{ cassels:diophantinecurve,
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author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
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title = {Diophantine equations with special reference to elliptic
2241
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year = {1966},
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pages = {193--291}
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}
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@InCollection{ cassels:global,
2249
author = {Cassels, J.\thinspace{}W.\thinspace{}S.},
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title = {Global fields},
2251
booktitle = {Algebraic Number Theory (Proc. Instructional Conf.,
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pages = {42--84},
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publisher = {Thompson, Washington, D.C.},
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year = {1967}
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}
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@Article{ cerednik,
2259
author = {{\v{C}}erednik, I.\thinspace{}V.},
2260
title = {Uniformization of algebraic curves by discrete arithmetic
2261
subgroups of \protect{${\rm {P}{G}{L}}\sb{2}(k\sb{w})$}
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with compact quotient spaces},
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journal = {Mat. Sb. (N.S.)},
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volume = {100(142)},
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year = {1976},
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pages = {59--88, 165}
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}
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@Article{ cheryl,
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author = {Beaver, Cheryl DeLorme},
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title = {$5$-torsion in the {S}hafarevich-{T}ate group of a family
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of elliptic curves},
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}
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@Article{ chevalley:thm,
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title = {Une d\'emonstration d'un th\'eor\`eme sur les groupes
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@Book{ cime-1997,
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title = "{Arithmetic theory of elliptic curves. Lectures given at
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language = "English",
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source = "{{L}ecture {N}otes in {M}athematics. 1716. {B}erlin:
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{S}pringer. viii, 260 p. DM 74.00; oeS 541.00; sFr. 67.50;
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ISSN 0075-8434]}",
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address = {Berlin},
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year = {1997},
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pages = {260}
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}
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@Article{ cmi:problems,
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author = {Clay Mathematics Institute},
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title = {Millennium Prize Problems,\hfill\\{\tt
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http://www.claymath.org/Millennium\_Prize\_Problems/}}
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}
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@Article{ coates-wiles:bsd,
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author = {Coates, J. and Wiles, A.},
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title = {On the conjecture of {B}irch and {S}winnerton-{D}yer},
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mrnumber = {57 \#3134},
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mrreviewer = {Kenneth A. Ribet}
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}
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@Article{ cohen-oesterle:dimensions,
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author = {Cohen, H. and Oesterl{\'e}, J.},
2337
title = {Dimensions des espaces de formes modulaires},
2338
booktitle = {Modular functions of one variable, VI (Proc. Second
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Internat. Conf., Univ. Bonn, Bonn, 1976)},
2340
pages = {69--78. Lecture Notes in Math., Vol. 627},
2341
publisher = {Springer},
2342
address = {Berlin},
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year = {1977},
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mrclass = {10D15},
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mrnumber = {57 \#12396},
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mrrevr = {R. A. Rankin}
2347
}
2348
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@Book{ cohen:course_ant,
2350
author = {Cohen, H.},
2351
title = {A course in computational algebraic number theory},
2352
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year = {1993},
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mrclass = {11Y40 (11Rxx 68Q40)},
2358
mrnumber = {94i:11105},
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mrreviewer = {Joe P. Buhler}
2360
}
2361
2362
@Article{ coleman-edixhoven,
2363
author = {Coleman, R.\thinspace{}F. and Edixhoven, B.},
2364
title = {On the semi-simplicity of the \protect{${U}\sb
2365
p$}-operator on modular forms},
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mrclass = {11F25 (11F11 11F33 11F85)},
2375
mrnumber = {99b:11043},
2376
mrrevr = {Alexey A. Panchishkin}
2377
}
2378
2379
@Article{ coleman-stein:padicapprox,
2380
author = {Coleman, R.},
2381
title = {Approximation of Infinite-Slope Modular Eigenforms By
2382
Finite-Slope Eigenforms},
2383
journal = {to appear in the Dwork Proceedings},
2384
year = {2003}
2385
}
2386
2387
@Article{ coleman-voloch,
2388
author = {Coleman, R.\thinspace{}F. and Voloch, J.\thinspace{}F.},
2389
title = {Companion forms and \protect{K}odaira-\protect{S}pencer
2390
theory},
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2392
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number = {2},
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pages = {263--281},
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issn = {0020-9910},
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coden = {INVMBH}
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}
2400
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@Article{ coleman:banach,
2402
author = {Coleman, R.\thinspace{}F.},
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title = {$p$-adic {B}anach spaces and families of modular forms},
2404
journal = {Invent. Math.},
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mrnumber = {98b:11047},
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mrrevr = {Alexey A. Panchishkin}
2415
}
2416
2417
@Article{ coleman:classical,
2418
author = {Coleman, R.\thinspace{}F.},
2419
title = {Classical and overconvergent modular forms},
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journal = {Invent. Math.},
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mrnumber = {97d:11090a},
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mrrevr = {Fernando Q. Gouv\^ea}
2431
}
2432
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@Article{ coleman:classical_higher,
2434
author = {Coleman, R.\thinspace{}F.},
2435
title = {Classical and overconvergent modular forms of higher
2436
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2437
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mrnumber = {99g:11071},
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mrrevr = {Conjeeveram S. Rajan}
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}
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@Article{ coleman:monodromy,
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author = {Coleman, R.},
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title = {The {M}onodromy {P}airing},
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journal = {Asian Math. Journal},
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pages = {315--330}
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@Article{ coleman:serre,
2459
author = {Coleman, R.\thinspace{}F.},
2460
title = {Serre's conjecture: {T}he {J}ugentraum of the 20th
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2462
note = {XII School of Algebra, Part I (Portuguese) (Diamantina,
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2464
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mrrevr = {Henri Darmon}
2473
}
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@Article{ colmez_fontaine,
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author = {Colmez, P. and Fontaine, J.-M.},
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title = {Construction des repr\'esentations {$p$}-adiques
2478
semi-stables},
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mrclass = {11S23 (14F30 14F40)},
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mrnumber = {2001g:11184},
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mrreviewer = {Mark Kisin}
2490
}
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@Article{ conrad-diamond-taylor:modularity,
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author = {Conrad, B. and Diamond, F. and Taylor, R.},
2494
title = {Modularity of certain potentially
2495
\protect{B}arsotti-\protect{T}ate \protect{G}alois
2496
representations},
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fjournal = {Journal of the American Mathematical Society},
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volume = {12},
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year = {1999},
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number = {2},
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pages = {521--567},
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issn = {0894-0347}
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}
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@Article{ conrad-edixhoven-stein:j1p,
2507
author = {Conrad, B. and Edixhoven, S. and Stein, W.\thinspace{}A.},
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title = {${J}_1(p)$ {H}as {C}onnected {F}ibers},
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year = 2003,
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journal = {Documenta Mathematica},
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volume = {8},
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pages = {331--408}
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}
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@Article{ conrad-stein:compgroup,
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author = {Conrad, B. and Stein, W.\thinspace{}A.},
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title = {Component groups of purely toric quotients},
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journal = {Math. Res. Lett.},
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fjournal = {Mathematical Research Letters},
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volume = {8},
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year = {2001},
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pages = {745--766},
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issn = {1073-2780},
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mrclass = {11G18 (11G10 11G40 14K15)},
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mrnumber = {2003f:11087},
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mrreviewer = {Antoine Chambert-Loir}
2528
}
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2530
@Article{ conrad:eulerprod,
2531
author = {Conrad, K.},
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title = {{P}artial {E}uler products on the critical line},
2533
journal = {Preprint},
2534
year = {2003}
2535
}
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@InCollection{ conrad:shimura,
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author = {Conrad, B.},
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title = {The Shimura Construction in Weight 2 (appendix to
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{R}ibet-{S}tein, {L}ectures on {S}erre's {C}onjecture)},
2541
booktitle = {Arithmetic algebraic geometry (Park City, UT, 1999)},
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series = {IAS/Park City Math. Ser.},
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volume = {9},
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pages = {205--232},
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publisher = {Amer. Math. Soc.},
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address = {Providence, RI},
2547
year = {2001},
2548
mrclass = {11F80 (11F66 11G05)},
2549
mrnumber = {2002h:11047}
2550
}
2551
2552
@InCollection{ conrey-farmer:nonvanish,
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author = {Conrey, J.\thinspace{}B. and Farmer, D.\thinspace{}W.},
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title = {Hecke operators and the nonvanishing of {$L$}-functions},
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booktitle = {Topics in number theory (University Park, PA, 1997)},
2556
series = {Math. Appl.},
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volume = {467},
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pages = {143--150},
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publisher = {Kluwer Acad. Publ.},
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address = {Dordrecht},
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2562
mrclass = {11F67 (11F25)},
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mrnumber = {2000f:11055},
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mrreviewer = {Vinayak Vatsal}
2565
}
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@Article{ cremona-luiz,
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title = {\protect{C++} matrix classes},
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author = {Cremona, J.\thinspace{}E. and Luiz F.}
2570
}
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@Article{ cremona-mazur,
2573
author = {Cremona, J.\thinspace{}E. and Mazur, B.},
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title = {Visualizing elements in the {S}hafarevich-{T}ate group},
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journal = {Experiment. Math.},
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volume = {9},
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number = {1},
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mrnumber = {1 758 797}
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}
2585
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@Book{ cremona:algs,
2587
author = {Cremona, J.\thinspace{}E.},
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title = {Algorithms for modular elliptic curves},
2589
edition = {Second},
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2591
address = {Cambridge},
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year = {1997},
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pages = {vi+376},
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isbn = {0-521-59820-6},
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note = {\mbox{}\\{\tt
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http://www.maths.nott.ac.uk/personal/jec/book/}}
2597
}
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@Article{ cremona:gammaone,
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author = {Cremona, J.\thinspace{}E.},
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title = {Modular symbols for \protect{$\Gamma\sb 1({N})$} and
2602
elliptic curves with everywhere good reduction},
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volume = {111},
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year = {1992},
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number = {2},
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issn = {0305-0041},
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coden = {MPCPCO}
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2614
@Article{ cremona:onlinetables,
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author = {Cremona, J.\thinspace{}E.},
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title = {Tables of {E}lliptic {C}urves,\hfill\\ {\tt
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http://www.maths.nott.ac.uk/personal/jec/ftp/data/}}
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}
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@Article{ cremona:periods,
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author = {Cremona, J.\thinspace{}E.},
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title = {Computing periods of cusp forms and modular elliptic
2623
curves},
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journal = {Experiment. Math.},
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fjournal = {Experimental Mathematics},
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volume = {6},
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year = {1997},
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number = {2},
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pages = {97--107},
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issn = {1058-6458}
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}
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@Book{ curtis-reiner,
2634
author = {Curtis, C.\thinspace{}W. and Reiner, I.},
2635
title = {Representation theory of finite groups and associative
2636
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note = {Pure and Applied Mathematics, Vol. XI},
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publisher = {Interscience Publishers, a division of John Wiley \& Sons,
2639
New York-London},
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year = {1962},
2641
pages = {xiv+685}
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@InCollection{ darmon-bsd,
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author = {Darmon, H.},
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title = {Wiles' theorem and the arithmetic of elliptic curves},
2647
booktitle = {Modular forms and Fermat's last theorem (Boston, MA,
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2649
pages = {549--569},
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publisher = {Springer},
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address = {New York},
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year = {1997},
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mrclass = {11G40 (11G05)},
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mrnumber = {1 638 495}
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@Article{ darmon-merel,
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author = {Darmon, H. and Merel, L.},
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title = {Winding quotients and some variants of {F}ermat's last
2660
theorem},
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journal = {J. Reine Angew. Math.},
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fjournal = {Journal f\"ur die Reine und Angewandte Mathematik},
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volume = {490},
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year = {1997},
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pages = {81--100},
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coden = {JRMAA8},
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mrclass = {11G18 (11D41 11F80 11G05)},
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mrnumber = {98h:11076},
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mrrevr = {Kenneth Kramer}
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}
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@InCollection{ darmon:serre,
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author = {Darmon, Henri},
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title = {Serre's conjectures},
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booktitle = {Seminar on Fermat's Last Theorem (Toronto, ON,
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pages = {135--153},
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year = {1995},
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mrnumber = {96h:11048},
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mrrevr = {Dipendra Prasad}
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}
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@InCollection{ ddt,
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author = {Darmon, H. and Diamond, F. and Taylor, R.},
2689
title = {Fermat's last theorem},
2690
booktitle = {Current developments in mathematics, 1995 (Cambridge,
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pages = {1--154},
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address = {Cambridge, MA},
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year = {1994}
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}
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@InProceedings{ deligne,
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author = {Deligne, P.},
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title = {Formes modulaires et \protect{repr\'{e}sentations
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$\ell$-adiques.}},
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note = {Lecture Notes in Mathematics, Vol. 179},
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publisher = {Springer-Verlag},
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booktitle = {\protect{S\'{e}m.} Bourbaki no. 355, 1968/69},
2705
address = {Berlin and New York},
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year = {1971},
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pages = {139--172}
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}
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@InProceedings{ deligne-rapoport,
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author = {Deligne, P. and Rapoport, M.},
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title = {Les sch\'emas de modules de courbes elliptiques},
2713
booktitle = {Modular functions of one variable, II (Proc. Internat.
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Summer School, Univ. Antwerp, Antwerp, 1972)},
2715
pages = {143--316. Lecture Notes in Math., Vol. 349},
2716
publisher = {Springer},
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address = {Berlin},
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year = {1973}
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}
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@Article{ deligne-serre,
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author = {Deligne, P. and Serre, J-P.},
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title = {Formes modulaires de poids $1$},
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journal = {Ann. Sci. \'Ecole Norm. Sup. (4)},
2725
volume = {7},
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year = {1974},
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pages = {507--530 (1975)}
2728
}
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@InCollection{ diamond-im,
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author = {Diamond, F. and Im, J.},
2732
title = {Modular forms and modular curves},
2733
booktitle = {Seminar on {F}ermat's {L}ast {T}heorem},
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pages = {39--133},
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pppublisher = {Amer. Math. Soc.},
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address = {Providence, RI},
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year = {1995}
2738
}
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@Article{ diamond-kramer,
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author = {Diamond, F. and Kramer, K.},
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title = {Modularity of a family of elliptic curves},
2743
journal = {Math. Res. Lett.},
2744
fjournal = {Mathematical Research Letters},
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volume = {2},
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year = {1995},
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number = {3},
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pages = {299--304},
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issn = {1073-2780}
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}
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@InProceedings{ diamond:refined,
2753
author = {Diamond, F.},
2754
title = {The refined conjecture of \protect{S}erre},
2755
booktitle = {Elliptic curves, modular forms, \& \protect{F}ermat's last
2756
theorem (\protect{H}ong \protect{K}ong, 1993)},
2757
pages = {22--37},
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publisher = {Internat. Press},
2759
address = {Cambridge, MA},
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year = {1995}
2761
}
2762
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@Article{ dickinson:thesis,
2764
author = {Dickinson, M.},
2765
title = {On the modularity of certain $2$-adic Galois
2766
representations},
2767
journal = {Harvard Ph.D. thesis},
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2769
}
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2771
@Book{ dixcohomologie,
2772
title = {Dix expos\'es sur la cohomologie des sch\'emas},
2773
note = {Advanced Studies in Pure Mathematics, Vol. 3},
2774
publisher = {North-Holland Publishing Co.},
2775
address = {Amsterdam},
2776
year = {1968},
2777
pages = {vi+386},
2778
mrclass = {14.55},
2779
mrnumber = {39 #2777}
2780
}
2781
2782
@Article{ doud,
2783
author = {Doud, D.},
2784
title = {\protect{${S}\sb 4$} and \protect{$\tilde {S}{}\sb 4$}
2785
extensions of \protect{${\bf {Q}}$} ramified at only one prime},
2786
journal = {J. Number Theory},
2787
fjournal = {Journal of Number Theory},
2788
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2789
year = {1999},
2790
number = {2},
2791
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2792
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2793
coden = {JNUTA9}
2794
}
2795
2796
@Article{ drinfeld:coverings,
2797
author = {Drinfeld, V.\thinspace{}G.},
2798
title = {Coverings of \protect{$p$-adic} symmetric domains},
2799
journal = {Funkcional. Anal. i Prilov zen.},
2800
volume = {10},
2801
year = {1976},
2802
number = {2},
2803
pages = {29--40}
2804
}
2805
2806
@Article{ dummigan-stein-watkins:motives,
2807
author = {Dummigan, N. and Watkins, M. and Stein, W.\thinspace{}A.},
2808
title = {{Constructing Elements in Shafarevich-Tate Groups of
2809
Modular Motives}},
2810
journal = {Number theory and algebraic geometry, ed. by Miles Reid
2811
and Alexei Skorobogatov},
2812
year = {2003},
2813
volume = {303},
2814
series = {Lecture Notes Series},
2815
publisher = {Cambridge Univ. Press},
2816
pages = {91--118}
2817
}
2818
2819
@Article{ dummigan:cp,
2820
AUTHOR = {Dummigan, N.},
2821
TITLE = {Period ratios of modular forms},
2822
JOURNAL = {Math. Ann.},
2823
FJOURNAL = {Mathematische Annalen},
2824
VOLUME = {318},
2825
YEAR = {2000},
2826
NUMBER = {3},
2827
PAGES = {621--636},
2828
ISSN = {0025-5831},
2829
CODEN = {MAANA},
2830
MRCLASS = {11F67 (11F33 11G40)},
2831
MRNUMBER = {MR1800772 (2002a:11049)},
2832
MRREVIEWER = {Kevin L. James},
2833
}
2834
2835
2836
@article {dummigan:congruences,
2837