Mean-square estimate of automorphic L-functions

被引：0

作者：

Yao, Weili ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2020年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Automorphic L-function; cusp form; Fourier coeffiient; FOURIER COEFFICIENTS; BOUNDS;

D O I：

10.1007/s11464-020-0817-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be a holomorphic Hecke cusp form with even integral weight k > 2 for the full modular group, and let chi be a primitive Dirichlet character modulo q. Let L-f (s, chi) be the automorphic L-function attached to f and chi. We study the mean-square estimate of L-f (s, chi) and establish an asymptotic formula.

引用

页码：205 / 213

页数：9

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