The second moment of quadratic twists of modular L-functions

被引：46

作者：

Soundararajan, K. ^{[1
]}

Young, Matthew P. ^{[2
]}

机构：

[1] Stanford Univ, Stanford, CA 94305 USA

[2] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2010年 / 12卷 / 05期

基金：

美国国家科学基金会;

关键词：

MEAN-VALUES;

D O I：

10.4171/JEMS/224

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the second moment of the central values of quadratic twists of a modular L-function. Unconditionally, we obtain a lower bound which matches the conjectured asymptotic formula, while on GRH we prove the asymptotic formula itself.

引用

页码：1097 / 1116

页数：20

共 35 条

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