The distribution of r-free numbers in arithmetic progressions
arXiv:1302.5976 · doi:10.1142/S1793042113501078
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.
5 pages