Uniform Titchmarsh divisor problems
Number Theory
2020-05-29 v1
Abstract
Asymptotic formulae for Titchmarsh-type divisor sums are obtained with strong error terms that are uniform in the shift parameter. This applies to more general arithmetic functions such as sums of two squares, improving the error term in the representation of the number as a sum of a prime and two squares, and to Fourier coefficients of cusp forms, generalizing a result of Pitt.
Cite
@article{arxiv.2005.13915,
title = {Uniform Titchmarsh divisor problems},
author = {Edgar Assing and Valentin Blomer and Junxian Li},
journal= {arXiv preprint arXiv:2005.13915},
year = {2020}
}
Comments
35 pages