On elementary estimates for the partition function

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1. Verfasser: Akeno, Mizuki
Format: Preprint
Veröffentlicht: 2025
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author Akeno, Mizuki
author_facet Akeno, Mizuki
contents In this paper, we obtain upper and lower bounds for the partition function $p(n)$ by using an elementary geometric inequality in Euclidean space, and we extend the method to generalizations of the partition function.
format Preprint
id arxiv_https___arxiv_org_abs_2508_00038
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On elementary estimates for the partition function
Akeno, Mizuki
Combinatorics
Number Theory
In this paper, we obtain upper and lower bounds for the partition function $p(n)$ by using an elementary geometric inequality in Euclidean space, and we extend the method to generalizations of the partition function.
title On elementary estimates for the partition function
topic Combinatorics
Number Theory
url https://arxiv.org/abs/2508.00038