Overpartitions with separated overlined parts and non-overlined parts
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916770962472960 |
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| author | Chen, Y. H. He, Thomas Y. Hu, Y. Xie, Y. X. |
| author_facet | Chen, Y. H. He, Thomas Y. Hu, Y. Xie, Y. X. |
| contents | Recently, Andrews considered the partitions with parts separated by parity, in which parts of a given parity are all smaller than those of the other parity. Inspired from the partitions with parts separated by parity, we investigate the overpartitions with separated overlined parts and non-overlined parts, in which the sizes of overlined parts (resp. non-overlined parts) are greater than or equal to those of non-overlined parts (resp. overlined parts). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16941 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Overpartitions with separated overlined parts and non-overlined parts Chen, Y. H. He, Thomas Y. Hu, Y. Xie, Y. X. Combinatorics Recently, Andrews considered the partitions with parts separated by parity, in which parts of a given parity are all smaller than those of the other parity. Inspired from the partitions with parts separated by parity, we investigate the overpartitions with separated overlined parts and non-overlined parts, in which the sizes of overlined parts (resp. non-overlined parts) are greater than or equal to those of non-overlined parts (resp. overlined parts). |
| title | Overpartitions with separated overlined parts and non-overlined parts |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2412.16941 |