| Hecke特征值相邻极大值的均值估计 |
| |
| 引用本文： | 华国栋. Hecke特征值相邻极大值的均值估计[J]. 数学进展, 2021, 0(1): 117-124 |
| |
| 作者姓名： | 华国栋 |
| |
| 作者单位： | 山东大学数学学院 |
| |
| 摘 要： | 取f为权为偶数k的全模群Γ = SL(2,Z)的Hecke特征型.定义Asymmf(n)为与f关联的m阶对称幂次L-函数的Dirichlet展开式的第n个正规化系数.本文中,我们给出了Σn0为一个正数.
|
| 关 键 词： | Hecke特征型 对称幂次L-函数 傅里叶系数 |
Mean Value Estimate of Pairwise Maxima of Hecke Eigenvalues |
| |
| HUA Guodong. Mean Value Estimate of Pairwise Maxima of Hecke Eigenvalues[J]. Advances in Mathematics(China), 2021, 0(1): 117-124 |
| |
| Authors: | HUA Guodong |
| |
| Affiliation: | (School of Mathematics,Shandong University,Jinan,Shandong,250100,P.R.China) |
| |
| Abstract: | Let f be a Hecke eigenform of even integral weight k for the full modular groupΓ=SL(2,Z).Denote by λsymmf(n) the-n-th normalized coefficient of the Dirichlet expansion of the m-th symmetric power L-function associated to f.In this paper,we establish the bounds for ∑n≤x max{|λsymmf(n)|2β,|λsymmf(n+h))|2β},where h is a fixed positive integer,and β> 0 is a positive number. |
| |
| Keywords: | Hecke eigencusp forms symmetric power L-function Fourier coefficients |
| 本文献已被 维普 等数据库收录！ |
|
