Mean-square estimate of automorphic L-functions  

作　　者：Weili YAO 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,China

出　　处：《Frontiers of Mathematics in China》2020年第1期205-213,共9页中国高等学校学术文摘·数学（英文）

基　　金：the National Natural Science Foundation of China(Grant No.11601309).

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

关 键 词：Automorphic L-FUNCTION CUSP FORM FOURIER COEFFICIENT 

分 类 号：O17[理学—数学]