On the distribution of squarefree integers in arithmetic progressions
Number Theory
2014-11-11 v1
Abstract
We investigate the error term of the asymptotic formula for the number of squarefree integers up to some bound, and lying in some arithmetic progression a (mod q). In particular, we prove an upper bound for its variance as a varies over which considerably improves upon earlier work of Blomer.
Keywords
Cite
@article{arxiv.1411.2360,
title = {On the distribution of squarefree integers in arithmetic progressions},
author = {Pierre Le Boudec},
journal= {arXiv preprint arXiv:1411.2360},
year = {2014}
}