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September 2022 Average behaviour of higher moments of cusp form coefficients
Guodong Hua
Funct. Approx. Comment. Math. 67(1): 69-76 (September 2022). DOI: 10.7169/facm/1988

Abstract

Let $f$ be a primitive holomorphic cusp form of even integral weight for the full modular group $\Gamma=SL(2,\mathbb{Z})$. In this paper, we study the higher moments of general divisor problem related to the coefficients of Rankin-Selberg $L$-function $L(f\times f,s)$ associated with $f$ over sum of two squares.

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Guodong Hua. "Average behaviour of higher moments of cusp form coefficients." Funct. Approx. Comment. Math. 67 (1) 69 - 76, September 2022. https://doi.org/10.7169/facm/1988

Information

Published: September 2022
First available in Project Euclid: 13 April 2022

Digital Object Identifier: 10.7169/facm/1988

Subjects:
Primary: 11F11
Secondary: 11F30 , 11F66

Keywords: Fourier coefficients , holomorphic cusp forms , Rankin-Selberg $L$-functions

Rights: Copyright © 2022 Adam Mickiewicz University

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Vol.67 • No. 1 • September 2022
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