Square-free numbers in arithmetic progressions
Number Theory
2014-07-08 v2
Abstract
We give asymptotics for correlation sums linked with the distribution of squarefree numbers in arithmetic progressions over a fixed modulus. As a particular case we improve a result of Blomer concerning the variance.
Keywords
Cite
@article{arxiv.1402.0684,
title = {Square-free numbers in arithmetic progressions},
author = {Ramon M. Nunes},
journal= {arXiv preprint arXiv:1402.0684},
year = {2014}
}
Comments
Contains a generalization of the main theorem in the previous version, 31 pages