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

Tomos Parry

doi:10.1112/mtk.12058

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arXiv · 1912.03376

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

Tomos Parry

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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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Tomos Parry. 2019-12-06. An average theorem for tuples of k-free numbers in arithmetic progressions. https://doi.org/10.1112/mtk.12058

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