The distribution of r-free numbers in arithmetic progressions
Number Theory
2013-09-27 v1
Abstract
A positive integer n is called r-free if n is not divisible by the r-th power of a prime. Generalizing earlier work of Orr, we provide an upper bound of Bombieri-Vinogradov type for the r-free numbers in arithmetic progressions.
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Cite
@article{arxiv.1302.5976,
title = {The distribution of r-free numbers in arithmetic progressions},
author = {Jason Gibson},
journal= {arXiv preprint arXiv:1302.5976},
year = {2013}
}
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5 pages