Efficient computation of the overpartition function and applications
Number Theory
2023-07-25 v2
Abstract
In this paper we develop a method to calculate the overpartition function efficiently using a Hardy-Rademacher-Ramanujan type formula, and we use this method to find many new Ramanujan-style congruences, whose existence is predicted by Treneer and a few of which were first discovered by Ryan, Scherr, Sirolli and Treneer.
Keywords
Cite
@article{arxiv.2303.15895,
title = {Efficient computation of the overpartition function and applications},
author = {Adrian Barquero-Sanchez and Gabriel Collado-Valverde and Nathan C. Ryan and Eduardo Salas-Jimenez and Nicolás Sirolli and Jean Carlos Villegas-Morales},
journal= {arXiv preprint arXiv:2303.15895},
year = {2023}
}
Comments
Final version, published in Journal of Mathematical Analysis and Applications