On the distribution of powered numbers

2023/06/09 by Brüdern, Jörg, Robert, Olivier
#(2020): 11N25 #11N37 #FOS: Mathematics #G.2.0 #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2306.05981

Abstract

Asymptotic formulae are established for the number of natural numbers m with largest square-free divisor not exceeding m^ϑ, for any fixed positive parameter ϑ. Related counting functions are also considered.

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