Signs of Fourier coefficients of cusp form at sum of two squares

被引：0
作者：
Soumyarup Banerjee
Manish Kumar Pandey
机构：
[1] The University of Hong Kong,
[2] Harish-Chandra Research Institute,undefined
[3] HBNI,undefined
来源：
Proceedings - Mathematical Sciences | 2020年 / 130卷
关键词：
Cusp form; Fourier coefficients; sign change; asymptotic behaviour; Rankin–Selberg ; -function; Primary: 11F11; 11F30; 11M06; Secondary: 11N37;
D O I：
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中图分类号：
学科分类号：
摘要：
In this article, we investigate the sign changes of the sequence of coefficients at sum of two squares where the coefficients are the Fourier coefficients of the normalized Hecke eigen cusp form for the full modular group. We provide the quantitative result for the number of sign changes of the sequence in a small interval.
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