Mean-square estimate of automorphic L-functions

• 作 者: Weili YAO
• 机 构: Department of Mathematics, Shanghai University, Shanghai 200444, China
• 出 处: 中国数学前沿
• 发表日期: 2020年1期
• 关键词: Automorphic L-function cusp form Fourier coefficient

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