Signs of Fourier coefficients of cusp forms at integers represented by an integral binary quadratic form

被引：0

作者：

Lalit Vaishya

机构：

[1] Harish-Chandra Research Institute,

[2] HBNI,undefined

来源：

Proceedings - Mathematical Sciences | 2021年 / 131卷

关键词：

Modular form of one variable; Fourier coefficients of cusp form; Rankin–Selberg ; -function; asymptotic behaviour; Primary: 11F30; 11F11; 11M06; Secondary: 11N37;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this article, we establish that there are infinitely many sign changes of Fourier coefficients of a normalised Hecke eigenform supported at positive integers represented by a primitive integral binary quadratic form with negative discriminant whose class number is 1. We also provide a quantitative result for the number of such sign changes in the interval (x, 2x] for sufficiently large x.

引用

共 50 条

[1] Signs of Fourier coefficients of cusp forms at integers represented by an integral binary quadratic form
Vaishya, Lalit
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2021, 131 (02):
[2] Average estimates and sign change of Fourier coefficients of cusp forms at integers represented by binary quadratic form of fixed discriminant
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