An average theorem for tuples of k-free numbers in arithmetic progressions
Number Theory
2023-01-09 v2
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.
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Cite
@article{arxiv.1912.03376,
title = {An average theorem for tuples of k-free numbers in arithmetic progressions},
author = {Tomos Parry},
journal= {arXiv preprint arXiv:1912.03376},
year = {2023}
}
Comments
Published in Mathematika