Efficient computation of the overpartition function and applications
arXiv:2303.15895 · doi:10.1016/j.jmaa.2023.127472
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.
Final version, published in Journal of Mathematical Analysis and Applications