固有因子的无幂和

Pub Date : 2021-06-28 DOI:10.4064/cm8616-10-2021

P. Pollack, A. Roy

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引用次数: 1

摘要

．让s (n) = (cid): 80) d | n, d < n d合适divisors》denote the sum of n。自然是每到conjecture that for《equivalence n是整数k≥2,k th powerfree⇐⇒s (n)是k th powerfree珍藏几乎总是(asymptotic密度之意义,on a组1)。我们证明这个for k≥4。

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Powerfree sums of proper divisors

. Let s ( n ) := (cid:80) d | n,d

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