The Shifted Convolution of Divisor Functions
Number Theory
2019-09-26 v1
Abstract
We prove an asymptotic formula for the shifted convolution of the divisor functions and , which is uniform in the shift parameter and which has a power-saving error term. The method is also applied to give analogous estimates for the shifted convolution of and Fourier coefficents of holomorphic cusp forms. These asymptotics improve previous results obtained by several different authors.
Cite
@article{arxiv.1506.02608,
title = {The Shifted Convolution of Divisor Functions},
author = {Berke Topacogullari},
journal= {arXiv preprint arXiv:1506.02608},
year = {2019}
}