Average distribution of k‐free numbers in arithmetic progressions

Kui Liu, Igor E. Shparlinski and Tianping Zhang

Mathematische Nachrichten, 2020, vol. 293, issue 8, 1505-1514

Abstract: We obtain a new bound on the average value of the error term in the asymptotic formula for the number of k‐free numbers in arithmetic progressions. In particular, we improve the results of J. Gibson (2014) and C. Hooley (1975).

Date: 2020
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