Powerfree sums of proper divisors

نویسندگان

چکیده

Let $s(n):= \sum _{d\,|\, n,\,d \lt n} d$ denote the sum of proper divisors $n$. It is natural to conjecture that for each integer $k\ge 2$, equivalence \[ \text {$n$ $k$th powerfree} \iff {$s(n)$ \] holds almost al

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ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 2022

ISSN: ['0010-1354', '1730-6302']

DOI: https://doi.org/10.4064/cm8616-10-2021