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23 January 2025 |
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Arithmetic properties of overpartitions | | Qi-Yang Zheng
; | | Date: |
1 Sep 2023 | | Abstract: | 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. | | Source: | arXiv, 2309.00302 | | Services: | Forum | Review | PDF | Favorites | |
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