On certain kernel functions and shifted convolution sums of the Fourier coefficients

2023/03/21 by Venkatasubbareddy, K., Sankaranarayanan, A.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2303.13362

Abstract

We study the behavior of the shifted convolution sum involving fourth power of the Fourier coefficients of holomorphic cusp forms with a weight function to be the k-full kernel function for any fixed integer k≥2.

Related

• Estimates for the shifted convolution sum involving Fourier coefficients of cusp forms of half-integral weight
• On certain kernel functions and shifted convolution sums of Hecke eigenvalues
• Kernels of L-functions and shifted convolutions
• A shifted convolution sum for GL(3)× GL(2)
• Shifted convolution sums of GL₃ cusp forms with θ-series