Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908781030408192 |
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| author | Thejitha, M. P. Sellers, James A. Fathima, S. N. |
| author_facet | Thejitha, M. P. Sellers, James A. Fathima, S. N. |
| contents | Let $a_{r,s}(n)$ denote the number of mutlicolored partitions of $n$, wherein both even parts and odd parts may appear in one of $r$-colors and $s$-colors, respectively, for fixed $r,s\ge 1$. The paper aims to study arithmetic properties satisfied by $a_{r,s}(n)$, using elementary generating function manipulations and classical $q$-series techniques. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15680 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts Thejitha, M. P. Sellers, James A. Fathima, S. N. Combinatorics Number Theory 11P83, 05A17 Let $a_{r,s}(n)$ denote the number of mutlicolored partitions of $n$, wherein both even parts and odd parts may appear in one of $r$-colors and $s$-colors, respectively, for fixed $r,s\ge 1$. The paper aims to study arithmetic properties satisfied by $a_{r,s}(n)$, using elementary generating function manipulations and classical $q$-series techniques. |
| title | Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts |
| topic | Combinatorics Number Theory 11P83, 05A17 |
| url | https://arxiv.org/abs/2601.15680 |