Asymptotic formulae for the second moments of L-series of holomorphic cusp forms on the critical line

被引：5

作者：

Bykovskii, V. A. ^{[1
]}

Frolenkov, D. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Far Eastern Branch, Inst Appl Math, Khabarovsk Div, Khabarovsk, Russia

[2] Russian Acad Sci, Steklov Math Inst, Moscow, Russia

来源：

IZVESTIYA MATHEMATICS | 2017年 / 81卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

modular form; L-series of automorphic forms; convolution formula; AUTOMORPHIC L-FUNCTIONS; VALUES; ORDER; RANK;

D O I：

10.1070/IM8426

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain new uniform asymptotic formulae for the second moments of L-series of cusp forms of even weight 2k >= 2 with respect to the congruence subgroup Gamma(0)(N).

引用

页码：239 / 268

页数：30

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