Explicit families of congruences for the overpartition function
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866910649839255552 |
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| author | Ryan, Nathan C. Sirolli, Nicolás Villegas-Morales, Jean Carlos Zheng, Qi-Yang |
| author_facet | Ryan, Nathan C. Sirolli, Nicolás Villegas-Morales, Jean Carlos Zheng, Qi-Yang |
| contents | 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 $m$ for $m = 5, 7, 11$, and finite families for $m = 13, 17, 19$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_01792 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Explicit families of congruences for the overpartition function Ryan, Nathan C. Sirolli, Nicolás Villegas-Morales, Jean Carlos Zheng, Qi-Yang Number Theory 11P83 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 $m$ for $m = 5, 7, 11$, and finite families for $m = 13, 17, 19$. |
| title | Explicit families of congruences for the overpartition function |
| topic | Number Theory 11P83 |
| url | https://arxiv.org/abs/2309.01792 |