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Critical p-adic L-functions
被引:55
作者
:
Bellaiche, Joel
论文数:
0
引用数:
0
h-index:
0
机构:
Brandeis Univ, Waltham, MA 02454 USA
Brandeis Univ, Waltham, MA 02454 USA
Bellaiche, Joel
[
1
]
机构
:
[1]
Brandeis Univ, Waltham, MA 02454 USA
来源
:
INVENTIONES MATHEMATICAE
|
2012年
/ 189卷
/ 01期
基金
:
美国国家科学基金会;
关键词
:
MODULAR-FORMS;
DEFORMATIONS;
CONJECTURES;
FAMILIES;
SYSTEMS;
D O I
:
10.1007/s00222-011-0358-z
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We attach p-adic L-functions to critical modular forms and study them. We prove that those L-functions fit in a two-variables p-adic L-function defined locally everywhere on the eigencurve.
引用
收藏
页码:1 / 60
页数:60
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SWINNERT.P
[J].
INVENTIONES MATHEMATICAE,
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61
[42]
Merel L., 1994, Lecture Notes in Math, V1585, P59
[43]
Miyake Toshitsune., 1976, Modular forms
[44]
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Nyssen, L
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0
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Nyssen, L
[J].
MATHEMATISCHE ANNALEN,
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306
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: 257
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Two variable p-adic L functions attached to eigenfamilies of positive slope
Panchishkin, AA
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Inst Fourier, F-38402 St Martin Dheres, France
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[J].
INVENTIONES MATHEMATICAE,
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154
(03)
: 551
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p-Adic family of half-integral weight modular forms via overconvergent Shintani lifting
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Department of Mathematics, Ohio State University, Columbus, 43210, OH
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[J].
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103
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The p-adic deformations of certain automorphic representations
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←
1
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共 53 条
[41]
ARITHMETIC OF WEIL CURVES
MAZUR, B
论文数:
0
引用数:
0
h-index:
0
机构:
HARVARD UNIV,DEPT MATH,CAMBRIDGE,MA 02139
MAZUR, B
SWINNERT.P
论文数:
0
引用数:
0
h-index:
0
机构:
HARVARD UNIV,DEPT MATH,CAMBRIDGE,MA 02139
SWINNERT.P
[J].
INVENTIONES MATHEMATICAE,
1974,
25
(01)
: 1
-
61
[42]
Merel L., 1994, Lecture Notes in Math, V1585, P59
[43]
Miyake Toshitsune., 1976, Modular forms
[44]
Pseudorepresentations
Nyssen, L
论文数:
0
引用数:
0
h-index:
0
Nyssen, L
[J].
MATHEMATISCHE ANNALEN,
1996,
306
(02)
: 257
-
283
[45]
Two variable p-adic L functions attached to eigenfamilies of positive slope
Panchishkin, AA
论文数:
0
引用数:
0
h-index:
0
机构:
Inst Fourier, F-38402 St Martin Dheres, France
Inst Fourier, F-38402 St Martin Dheres, France
Panchishkin, AA
[J].
INVENTIONES MATHEMATICAE,
2003,
154
(03)
: 551
-
615
[46]
p-Adic family of half-integral weight modular forms via overconvergent Shintani lifting
Park, Jeehoon
论文数:
0
引用数:
0
h-index:
0
机构:
McGill Univ, Dept Math, Montreal, PQ H3A 2K6, Canada
McGill Univ, Dept Math, Montreal, PQ H3A 2K6, Canada
Park, Jeehoon
[J].
MANUSCRIPTA MATHEMATICA,
2010,
131
(3-4)
: 355
-
384
[47]
On the p-ADIC L-function of a modular form at a supersingular prime
Pollack, R
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Univ Chicago, Dept Math, Chicago, IL 60637 USA
Pollack, R
[J].
DUKE MATHEMATICAL JOURNAL,
2003,
118
(03)
: 523
-
558
[48]
Characterization of characters and pseudocharacters
Rouquier, R
论文数:
0
引用数:
0
h-index:
0
机构:
Departement de Mathématiques, Université Paris VII, Paris 75005
Rouquier, R
[J].
JOURNAL OF ALGEBRA,
1996,
180
(02)
: 571
-
586
[49]
THE MAIN CONJECTURES OF IWASAWA THEORY FOR IMAGINARY QUADRATIC FIELDS
RUBIN, K
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Ohio State University, Columbus, 43210, OH
RUBIN, K
[J].
INVENTIONES MATHEMATICAE,
1991,
103
(01)
: 25
-
68
[50]
The p-adic deformations of certain automorphic representations
Skinner, Christopher
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
Skinner, Christopher
Urban, Et Eric
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
Urban, Et Eric
[J].
JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU,
2006,
5
(04)
: 629
-
698
←
1
2
3
4
5
6
→