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arXiv · 2402.08119

On the number of partitions of a number into distinct divisors

Noah Lebowitz-Lockard·Joseph Vandehey
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Abstract

Let $p_{\textrm{dsd}} (n)$ be the number of partitions of $n$ into distinct squarefree divisors of $n$. In this note, we find a lower bound for $p_{\textrm{dsd}} (n)$, as well as a sequence of $n$ for which $p_{\textrm{dsd}} (n)$ is unusually large.

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Noah Lebowitz-Lockard, Joseph Vandehey. 2024-02-12. On the number of partitions of a number into distinct divisors. https://arxiv.org/abs/2402.08119

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