• Signs of Fourier coefficients of cusp form at sumof two squares

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/130/0002

• # Keywords

Cusp form; Fourier coefficients; sign change; asymptotic behaviour; Rankin–Selberg $L$-function

• # Abstract

In this article,we investigate the sign changes of the sequence of coefficientsat sum of two squareswhere 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.

• # Author Affiliations

1. The University of Hong Kong, Pokfulam, Hong Kong
2. Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019