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
收藏
页码：1097 / 1116
页数：20
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