On products of Fourier coefficients of half-integral weight cusp forms

被引：0

作者：

Juyal, Abhishek ^{[1
]}

Pandey, Manish Kumar ^{[2
]}

机构：

[1] Hemvati Nandan Bahuguna Garhwal Univ, Dept Biotechnol, BCC Campus, Srinagar, Uttarakhand, India

[2] UPES, Dept Math, Dehra Dun, Uttaranchal, India

来源：

COMBINATORICS AND NUMBER THEORY | 2024年 / 13卷 / 02期

关键词：

cusp forms; Fourier coefficients; half-integral weight; L-function;

D O I：

10.2140/cnt.2024.13.93

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the nonvanishing properties of shifted products a(f)(n) a(f)(n+r) ,n >= 1, for a fixed positive integer r . The focus is on Fourier coefficients associated with half-integral weight modular forms. This study serves as an extension of work of Hofmann and Kohnen ( Forum Math. 29:1 (2017), 245-250).

引用

页码：93 / 101

页数：12

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