March 2023 Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight
Abhash Kumar Jha, Lalit Vaishya
Funct. Approx. Comment. Math. 68(1): 7-18 (March 2023). DOI: 10.7169/facm/1942

Abstract

In this article, we obtain certain estimates for the shifted convolution sum involving the Fourier coefficients of half-integral weight cusp forms.

Citation

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Abhash Kumar Jha. Lalit Vaishya. "Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight." Funct. Approx. Comment. Math. 68 (1) 7 - 18, March 2023. https://doi.org/10.7169/facm/1942

Information

Published: March 2023
First available in Project Euclid: 15 December 2022

MathSciNet: MR4564861
zbMATH: 07688265
Digital Object Identifier: 10.7169/facm/1942

Subjects:
Primary: 11F30
Secondary: 11F37

Keywords: cusp forms of half-integral weight , Poisson-Voronoi summation formula , shifted convolution sum

Rights: Copyright © 2023 Adam Mickiewicz University

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Vol.68 • No. 1 • March 2023
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