New congruences for partitions where the even parts are distinct
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914965035679744 |
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| author | Nath, Hemjyoti |
| author_facet | Nath, Hemjyoti |
| contents | We denote the number of partitions of $n$ wherein the even parts are distinct (and the odd parts are unrestricted) by $ped(n)$. In this paper, we will use generating function manipulations to obtain new congruences for $ped(n)$ modulo $24$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16735 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New congruences for partitions where the even parts are distinct Nath, Hemjyoti Number Theory 05A17, 11P83 We denote the number of partitions of $n$ wherein the even parts are distinct (and the odd parts are unrestricted) by $ped(n)$. In this paper, we will use generating function manipulations to obtain new congruences for $ped(n)$ modulo $24$. |
| title | New congruences for partitions where the even parts are distinct |
| topic | Number Theory 05A17, 11P83 |
| url | https://arxiv.org/abs/2403.16735 |