Article ID Journal Published Year Pages File Type
4595614 Journal of Number Theory 2006 22 Pages PDF
Abstract

In this paper we obtain an improved asymptotic formula on the frequency of k-free numbers with a given difference. We also give a new upper bound of Barban–Davenport–Halberstam type for the k-free numbers in arithmetic progressions.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory