On the number of partitions of a number into distinct divisors

Fuente: arXiv
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Autori principali: Lebowitz-Lockard, Noah, Vandehey, Joseph
Natura: Preprint
Pubblicazione: 2024
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author Lebowitz-Lockard, Noah
Vandehey, Joseph
author_facet Lebowitz-Lockard, Noah
Vandehey, Joseph
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_08119
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the number of partitions of a number into distinct divisors
Lebowitz-Lockard, Noah
Vandehey, Joseph
Number Theory
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.
title On the number of partitions of a number into distinct divisors
topic Number Theory
url https://arxiv.org/abs/2402.08119