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On products of primes and square-free integers in arithmetic progressions

Published 13 Jul 2019 in math.NT | (1907.06016v2)

Abstract: We obtain an asymptotic formula for the number of ways to represent every reduced residue class as a product of a prime and square-free integer. This may be considered as a relaxed version of a conjecture of Erd\"os, Odlyzko, and S\'ark\"ozy.

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