Separable overpartition classes and excludant sizes of an overpartition
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918309338808320 |
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| author | Chen, Y. H. Chen, Y. Q. He, Thomas Y. Huang, H. X. Zhang, X. |
| author_facet | Chen, Y. H. Chen, Y. Q. He, Thomas Y. Huang, H. X. Zhang, X. |
| contents | An overpartition is a partition such that the first occurrence (equivalently, the last occurrence) of a number may be overlined. In this article, we investigate three contents of overpartitions. We first consider the $r$-chain minimal and maximal excludant sizes of an overpartition. Then, we study the second minimal excludant and mex sequence of an overpartition. Finally, we introduce $L_k$-overpartitions and $F_k$-overpartitions, which are separable overpartition classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12864 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Separable overpartition classes and excludant sizes of an overpartition Chen, Y. H. Chen, Y. Q. He, Thomas Y. Huang, H. X. Zhang, X. Combinatorics An overpartition is a partition such that the first occurrence (equivalently, the last occurrence) of a number may be overlined. In this article, we investigate three contents of overpartitions. We first consider the $r$-chain minimal and maximal excludant sizes of an overpartition. Then, we study the second minimal excludant and mex sequence of an overpartition. Finally, we introduce $L_k$-overpartitions and $F_k$-overpartitions, which are separable overpartition classes. |
| title | Separable overpartition classes and excludant sizes of an overpartition |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2501.12864 |