On the Birch and Swinnerton-Dyer conjecture

被引：0

作者：

Virdol, Cristian ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

ACTA ARITHMETICA | 2011年 / 146卷 / 02期

关键词：

elliptic curves; Birch and Swinnerton-Dyer conjecture; potential modularity; ELLIPTIC-CURVES; EULER PRODUCTS; MODULARITY; REPRESENTATIONS; CLASSIFICATION; FORMS;

D O I：

10.4064/aa146-2-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：173 / 176

页数：4

共 33 条

[1] Report on the Birch and Swinnerton-Dyer Conjecture
Massimo Bertolini
Milan Journal of Mathematics, 2010, 78 : 153 - 178
[2] Report on the Birch and Swinnerton-Dyer Conjecture
Bertolini, Massimo
MILAN JOURNAL OF MATHEMATICS, 2010, 78 (01) : 153 - 178
[3] Towards an 'average' version of the Birch and Swinnerton-Dyer conjecture
Goes, John
Miller, Steven J.
JOURNAL OF NUMBER THEORY, 2010, 130 (10) : 2341 - 2358
[4] BASE CHANGE AND THE BIRCH AND SWINNERTON-DYER CONJECTURE
Virdol, Cristian
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2012, 46 (02) : 189 - 194
[5] A divisibility related to the Birch and Swinnerton-Dyer conjecture
Melistas, Mentzelos
JOURNAL OF NUMBER THEORY, 2023, 245 : 150 - 168
[6] The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication
Burungale, Ashay
Flach, Matthias
CAMBRIDGE JOURNAL OF MATHEMATICS, 2024, 12 (02) : 357 - 415
[7] On anticyclotomic variants of the p-adic Birch and Swinnerton-Dyer conjecture
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Castella, Francesc
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2021, 33 (03): : 629 - 658
[8] Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture
Vincent Bosser
Andrea Surroca
Bulletin of the Brazilian Mathematical Society, New Series, 2014, 45 : 1 - 23
[9] On the birch and Swinnerton-Dyer conjecture for modular elliptic curves over totally real fields
Longo, Matteo
ANNALES DE L INSTITUT FOURIER, 2006, 56 (03) : 689 - 733
[10] A p-adic Waldspurger Formula and the Conjecture of Birch and Swinnerton-Dyer
Burungale, Ashay A.
JOURNAL OF THE INDIAN INSTITUTE OF SCIENCE, 2022, 102 (3) : 885 - 894

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