English

On elementary estimates for the partition function

Combinatorics 2026-03-06 v2 Number Theory

Abstract

In this paper, we obtain upper and lower bounds for the partition function p(n)p(n) by using an elementary geometric inequality in Euclidean space, and we extend the method to generalizations of the partition function.

Keywords

Cite

@article{arxiv.2508.00038,
  title  = {On elementary estimates for the partition function},
  author = {Mizuki Akeno},
  journal= {arXiv preprint arXiv:2508.00038},
  year   = {2026}
}

Comments

Major revision

R2 v1 2026-07-01T04:28:22.739Z