Explicit families of congruences for the overpartition function
Number Theory
2024-10-16 v4
Abstract
In this article we exhibit new explicit families of congruences for the overpartition function, making effective the existence results given previously by Treneer. We give infinite families of congruences modulo for , and finite families for .
Cite
@article{arxiv.2309.01792,
title = {Explicit families of congruences for the overpartition function},
author = {Nathan C. Ryan and Nicolás Sirolli and Jean Carlos Villegas-Morales and Qi-Yang Zheng},
journal= {arXiv preprint arXiv:2309.01792},
year = {2024}
}
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