2023/09/01 by Qi-Yang Zheng, Zheng, Qi-Yang
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2309.00302
openalex publication_date 2023/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The primary focus of this paper is overpartitions, a type of partition that plays a significant role in q-series theory. In 2006, Treneer discovered an explicit infinite family of congruences of overpartitions modulo 5. In our research, we have identified explicit infinite families of congruences of overpartitions modulo 3,7,11. This work reveals the connection between overpartitions and half-integral modular forms.