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- W4287112330 abstract "Let $s(n):= sum_{dmid n,~d<n} d$ denote the sum of the proper divisors of $n$. It is natural to conjecture that for each integer $kge 2$, the equivalence [ text{$n$ is $k$th powerfree} Longleftrightarrow text{$s(n)$ is $k$th powerfree} ] holds almost always (meaning, on a set of asymptotic density $1$). We prove this for $kge 4$." @default.
- W4287112330 created "2022-07-25" @default.
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- W4287112330 date "2021-06-28" @default.
- W4287112330 modified "2023-09-27" @default.
- W4287112330 title "Powerfree sums of proper divisors" @default.
- W4287112330 doi "https://doi.org/10.48550/arxiv.2106.14953" @default.
- W4287112330 hasPublicationYear "2021" @default.
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