On discrete mean value of automorphic L-functions

被引：0

作者：

Chen, Yu ^{[1
]}

Yao, Weili ^{[1
]}

机构：

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

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年 / 55卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Automorphic L-function; Cusp form; Fourier coefficient; Dirichlet characters; FOURIER COEFFICIENTS; BOUNDS; WEIGHT;

D O I：

10.1007/s13226-023-00371-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be any normalized Hecke eigen forms with even integral weight k >= 2 for the full modular group SL(2, Z), and chi be a primitive Dirichlet character modulo q. Let L f (s, chi) be the automorphic L-function attached to f and chi. In this paper, we study the mean-square estimate of L (f) (s, chi) weighted by incomplete character sums, via using properties of Fourier coefficients and analytic methods, and establish an asymptotic formula which refines the previous results.

引用

页码：377 / 387

页数：11

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