paper

An average theorem for tuples of k-free numbers in arithmetic progressions

arXiv:1912.03376 · doi:10.1112/mtk.12058

Abstract

We obtain an asymptotic formula, in the spirit of the Montgomery-Hooley refinement of the Barban-Davenport-Halberstam Theorem, for the variance associated with tuples of k-free numbers in arithmetic progressions.

Published in Mathematika