On sums of Fourier coefficients of Maass cusp forms

被引：8

作者：

Jiang, Yujiao ^{[1
]}

Lu, Guangshi ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2017年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Fourier coefficients; Maass cusp form; symmetric power L-function;

D O I：

10.1142/S179304211750066X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let phi be a Hecke-Maass cusp form, and a(phi)(n) be its nth Fourier coefficient at the cusp infinity. In this paper, we are interested in the estimation on sums Sigma(n <= x) a(phi)(n(j)) for 1 <= j <= 4. We are able to improve previous results by introducing some inequalities concerning Fourier coefficients and other techniques.

引用

页码：1233 / 1243

页数：11

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