Overcolored Partition Restricted by Parity of the Parts
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917327151300608 |
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| author | Thejitha, M. P. Fathima, S. N. |
| author_facet | Thejitha, M. P. Fathima, S. N. |
| contents | Very recently, Thejitha, Sellers, and Fathima defined the function $a_{r,s}(n)$, which enumerates the number of multicolored partitions of $n$, wherein both even parts and odd parts may appear in one of $r$-colors and $s$-colors, respectively, for fixed $r,s\ge 1$. In this paper, we extend the concept to overpartitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01669 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Overcolored Partition Restricted by Parity of the Parts Thejitha, M. P. Fathima, S. N. Combinatorics Number Theory 05A17, 11P83 Very recently, Thejitha, Sellers, and Fathima defined the function $a_{r,s}(n)$, which enumerates the number of multicolored partitions of $n$, wherein both even parts and odd parts may appear in one of $r$-colors and $s$-colors, respectively, for fixed $r,s\ge 1$. In this paper, we extend the concept to overpartitions. |
| title | Overcolored Partition Restricted by Parity of the Parts |
| topic | Combinatorics Number Theory 05A17, 11P83 |
| url | https://arxiv.org/abs/2603.01669 |