Arithmetic Identities for Some Analogs of $5$-core Partition Function
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916380380495872 |
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| author | Bandyopadhyay, Subhajit Baruah, Nayandeep Deka |
| author_facet | Bandyopadhyay, Subhajit Baruah, Nayandeep Deka |
| contents | Recently, Gireesh, Ray, and Shivashankar studied an analog, $\overline{a}_t(n)$, of the $t$-core partition function, $c_t(n)$. In this paper, we study the function $\overline{a}_5(n)$ in conjunction with $c_5(n)$ as well as another analogous function $\overline{b}_5(n)$. We also find several arithmetic identities for $\overline{a}_5(n)$ and $\overline{b}_5(n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arithmetic Identities for Some Analogs of $5$-core Partition Function Bandyopadhyay, Subhajit Baruah, Nayandeep Deka Number Theory Combinatorics 05A17 (Primary) 11P81, 11P83, 11B37 (Secondary) Recently, Gireesh, Ray, and Shivashankar studied an analog, $\overline{a}_t(n)$, of the $t$-core partition function, $c_t(n)$. In this paper, we study the function $\overline{a}_5(n)$ in conjunction with $c_5(n)$ as well as another analogous function $\overline{b}_5(n)$. We also find several arithmetic identities for $\overline{a}_5(n)$ and $\overline{b}_5(n)$. |
| title | Arithmetic Identities for Some Analogs of $5$-core Partition Function |
| topic | Number Theory Combinatorics 05A17 (Primary) 11P81, 11P83, 11B37 (Secondary) |
| url | https://arxiv.org/abs/2409.02034 |