Arithmetic of 2-regular partitions with distinct odd parts
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913480278278144 |
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| author | Nath, Hemjyoti |
| author_facet | Nath, Hemjyoti |
| contents | Let $pod_2(n)$ denote the number of $2$-regular partitions of $n$ with distinct odd parts (even parts are unrestricted). In this article, we obtain congruences for $pod_2(n)$ mod $2$ and mod $8$ using some generating function manipulations and the theory of Hecke eigenform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arithmetic of 2-regular partitions with distinct odd parts Nath, Hemjyoti Number Theory 05A17, 11P83, 11F11, 11F20 Let $pod_2(n)$ denote the number of $2$-regular partitions of $n$ with distinct odd parts (even parts are unrestricted). In this article, we obtain congruences for $pod_2(n)$ mod $2$ and mod $8$ using some generating function manipulations and the theory of Hecke eigenform. |
| title | Arithmetic of 2-regular partitions with distinct odd parts |
| topic | Number Theory 05A17, 11P83, 11F11, 11F20 |
| url | https://arxiv.org/abs/2408.13879 |