A variance for $k$-free numbers in arithmetic progressions of given modulus
Number Theory
2023-01-09 v2
Abstract
An asymptotic formula for the variance of squarefree numbers in arithmetic progressions of given modulus was obtained by Nunes (see reference [3]). We improve one of the error terms.
Cite
@article{arxiv.1912.04683,
title = {A variance for $k$-free numbers in arithmetic progressions of given modulus},
author = {Tomos Parry},
journal= {arXiv preprint arXiv:1912.04683},
year = {2023}
}
Comments
Published with important revisions in Journal de Th\'eorie des Nombres Bordeaux