Three types of the minimal excludant size of an overpartition
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912106688806912 |
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| author | He, Thomas Y. Huang, C. S. Li, H. X. Zhang, X. |
| author_facet | He, Thomas Y. Huang, C. S. Li, H. X. Zhang, X. |
| contents | Recently, Andrews and Newman studied the minimal excludant of a partition, which is defined as the smallest positive integer that is not a part of a partition. In this article, we consider the minimal excludant size of an overpartition, which is an overpartition analogue of the minimal excludant of a partition. We define three types of overpartition related to the minimal excludant size. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19669 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three types of the minimal excludant size of an overpartition He, Thomas Y. Huang, C. S. Li, H. X. Zhang, X. Combinatorics Recently, Andrews and Newman studied the minimal excludant of a partition, which is defined as the smallest positive integer that is not a part of a partition. In this article, we consider the minimal excludant size of an overpartition, which is an overpartition analogue of the minimal excludant of a partition. We define three types of overpartition related to the minimal excludant size. |
| title | Three types of the minimal excludant size of an overpartition |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2410.19669 |