Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki
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arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917280682606592 |
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| author | Guadalupe, Russelle |
| author_facet | Guadalupe, Russelle |
| contents | We establish infinite families of congruences modulo arbitrary powers of $2$ for the three restricted partition functions $M(n), T^\ast(n)$, and $P^\ast(n)$ introduced by Pushpa and Vasuki by employing elementary $q$-series techniques. These generalize some particular congruences for $M(n), T^\ast(n)$, and $P^\ast(n)$ recently found by Nath and Saikia. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_19790 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki Guadalupe, Russelle Number Theory Combinatorics 11P83, 05A17 We establish infinite families of congruences modulo arbitrary powers of $2$ for the three restricted partition functions $M(n), T^\ast(n)$, and $P^\ast(n)$ introduced by Pushpa and Vasuki by employing elementary $q$-series techniques. These generalize some particular congruences for $M(n), T^\ast(n)$, and $P^\ast(n)$ recently found by Nath and Saikia. |
| title | Congruences modulo powers of $2$ for three restricted partition functions of Pushpa and Vasuki |
| topic | Number Theory Combinatorics 11P83, 05A17 |
| url | https://arxiv.org/abs/2601.19790 |