Jean-Marie De Koninck, Rafael Jakimczuk
Given an integer n≥2n≥2, let P(n)P(n) stand for its largest prime factor. We examine the behaviour of ∑n≤xn∈AP(n)∑n≤xn∈AP(n) in the case of two sets AA, namely the set of rr-free numbers and the set of hh-full numbers.
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