Linear relations for the number of overpartitions into odd parts
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916155118059520 |
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| author | G., Deepthi Chandankumar, S. |
| author_facet | G., Deepthi Chandankumar, S. |
| contents | Let $\overline{p}_o(n)$ denote the number of overpartitions of $n$ into odd parts. The partition function $\overline{p}_o(n)$ has been the subject of many recent studies where many explicit Ramanujan-like congruences were discovered. In this paper, we provide three linear recurrence relation for $\overline{p}_o(n)$. Several connections with partitions into parts not congruent to $2 \pmod 4$, overpartitions and partitions into distinct parts are presented in this context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05866 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear relations for the number of overpartitions into odd parts G., Deepthi Chandankumar, S. Number Theory Let $\overline{p}_o(n)$ denote the number of overpartitions of $n$ into odd parts. The partition function $\overline{p}_o(n)$ has been the subject of many recent studies where many explicit Ramanujan-like congruences were discovered. In this paper, we provide three linear recurrence relation for $\overline{p}_o(n)$. Several connections with partitions into parts not congruent to $2 \pmod 4$, overpartitions and partitions into distinct parts are presented in this context. |
| title | Linear relations for the number of overpartitions into odd parts |
| topic | Number Theory |
| url | https://arxiv.org/abs/2403.05866 |