The Average Behaviors of the Fourier Coefficients of j-th Symmetric Power L-Function over Two Sparse Sequences of Positive Integers

被引：0

作者：

Liu H. ^{[1
]}

Yang X. ^{[1
]}

机构：

[1] School of Mathematics and Statistics, Shandong Normal University, Shandong, Jinan

来源：

Bulletin of the Iranian Mathematical Society | 2024年 / 50卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Dirichlet character; Fourier coefficients; j-th symmetric L-function;

D O I：

10.1007/s41980-023-00850-z

中图分类号：

学科分类号：

摘要：

Suppose that x is a sufficiently large number and j≥ 2 is any integer. Let L(s, sym jf) be the j-th symmetric power L-function associated with the primitive holomorphic cusp form f of weight k for the full modular group SL 2(Z) . Also, let λsymjf(n) be the n-th normalized Dirichlet coefficient of L(s, sym jf) . In this paper, we establish asymptotic formulas for sums of Dirichlet coefficients λsymjf(n) over two sparse sequences of positive integers, which improves previous results. © 2024, The Author(s) under exclusive licence to Iranian Mathematical Society.

引用

共 4 条

[1] ON THE AVERAGE BEHAVIOR OF THE FOURIER COEFFICIENTS OF jTH SYMMETRIC POWER L-FUNCTION OVER CERTAIN SEQUENCES OF POSITIVE INTEGERS
Sharma, Anubhav
Sankaranarayanan, Ayyadurai
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (03) : 885 - 901
[2] On the average behavior of the Fourier coefficients of jth symmetric power L-function over certain sequences of positive integers
Anubhav Sharma
Ayyadurai Sankaranarayanan
[J]. Czechoslovak Mathematical Journal, 2023, 73 : 885 - 901
[3] A note on average behaviour of the Fourier coefficients of jth symmetric power L-function over certain sparse sequence of positive integers
Wang, Youjun
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2024, 74 (02) : 623 - 636
[4] Average behaviour of Fourier coefficients of j-symmetric power L-functions over some polynomials
Sarkar, A.
Alam, M. Shahvez
[J]. ACTA MATHEMATICA HUNGARICA, 2024,

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