Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight

TL;DR

This paper provides new estimates for shifted convolution sums involving Fourier coefficients of half-integral weight cusp forms, advancing understanding in analytic number theory.

Contribution

It introduces novel bounds for these sums, improving upon previous results in the field.

Findings

Derived new bounds for shifted convolution sums

Enhanced understanding of Fourier coefficients of half-integral weight cusp forms

Contributed to analytic number theory techniques

Abstract

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