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

Published 6 Dec 2019 in math.NT | (1912.03376v2)

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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