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;
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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.
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