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.
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页码：1161 / 1190
页数：30
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