Arithmetic properties of overpartitions
Number Theory
2023-09-04 v1
Abstract
The primary focus of this paper is overpartitions, a type of partition that plays a significant role in -series theory. In 2006, Treneer discovered an explicit infinite family of congruences of overpartitions modulo . In our research, we have identified explicit infinite families of congruences of overpartitions modulo . This work reveals the connection between overpartitions and half-integral modular forms.
Cite
@article{arxiv.2309.00302,
title = {Arithmetic properties of overpartitions},
author = {Qi-Yang Zheng},
journal= {arXiv preprint arXiv:2309.00302},
year = {2023}
}