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arXiv:1302.5976 [math.NT]AbstractReferencesReviewsResources

The distribution of r-free numbers in arithmetic progressions

Jason Gibson

Published 2013-02-25Version 1

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.

Comments: 5 pages
Journal: International Journal of Number Theory, Vol. 10, no. 3 (2014)
Categories: math.NT
Subjects: 11N25, 11N69
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