Parity results of PEND partition
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913430738305024 |
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| author | Nath, Hemjyoti |
| author_facet | Nath, Hemjyoti |
| contents | In this paper, we consider the set of partitions $pend(n)$ which enumerates the number of partitions of $n$ wherein the even parts are not allowed to be distinct. Using a result of Newman, we prove a few infinite families of congruences modulo 2 for $pend(n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10428 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Parity results of PEND partition Nath, Hemjyoti Number Theory 11P83, 05A17 In this paper, we consider the set of partitions $pend(n)$ which enumerates the number of partitions of $n$ wherein the even parts are not allowed to be distinct. Using a result of Newman, we prove a few infinite families of congruences modulo 2 for $pend(n)$. |
| title | Parity results of PEND partition |
| topic | Number Theory 11P83, 05A17 |
| url | https://arxiv.org/abs/2407.10428 |