A Note on the least squarefree number in an arithmetic progression
Number Theory
2017-03-29 v1
Abstract
We prove an asymptotic formula for squarefree in arithmetic progressions with squarefree moduli, improving previous results by Prachar. The main tool is an estimate for counting solutions of a congruence inside a box that goes beyond what can be obtained by using the Weil bound.
Keywords
Cite
@article{arxiv.1605.03347,
title = {A Note on the least squarefree number in an arithmetic progression},
author = {Ramon M. Nunes},
journal= {arXiv preprint arXiv:1605.03347},
year = {2017}
}
Comments
6 pages, no figures