Fourier coefficients of cusp forms on special sequences

被引：0

作者：

Yao, Weili ^{[1
,2
]}

机构：

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

[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Fourier coefficient; cusp forms; symmetric power L-functions; short intervals; POWER SUMS; EIGENVALUES;

D O I：

10.1142/S1793042124500568

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the square of the normalized Fourier coefficients of the primitive cusp forms f and its symmetric-lift at integers with a fixed number of distinct prime divisors, and present asymptotic formulas for them in short intervals.

引用

页码：1161 / 1190

页数：30

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