Vanishing and non-vanishing Dirichlet twists of L-functions of elliptic curves

被引：11

作者：

Fearnley, Jack ^{[1
,2
]}

Kisilevsky, Hershy ^{[1
,2
]}

Kuwata, Masato ^{[3
]}

机构：

[1] Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, Canada

[2] Concordia Univ, CICMA, Montreal, PQ H3G 1M8, Canada

[3] Chuo Univ, Fac Econ, Hachioji, Tokyo 1920393, Japan

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2012年 / 86卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

MODULAR-FORMS; VALUES; POINTS;

D O I：

10.1112/jlms/jds018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L(E/Q, s) be the L-function of an elliptic curve E defined over the rational field Q. We examine the vanishing and non-vanishing of the central values L(E, 1, chi) of the twisted L-function as chi ranges over Dirichlet characters of a given order.

引用

页码：539 / 557

页数：19

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