The shifted convolution of generalized divisor functions
Number Theory
2019-09-26 v1
Abstract
We prove an asymptotic formula for the shifted convolution of the divisor functions and with , which is uniform in the shift parameter and which has a power-saving error term, improving results obtained previously by Fouvry and Tenenbaum and, more recently, by Drappeau.
Cite
@article{arxiv.1605.02364,
title = {The shifted convolution of generalized divisor functions},
author = {Berke Topacogullari},
journal= {arXiv preprint arXiv:1605.02364},
year = {2019}
}