The combinatorics of identities involving overpartitions with distinct parts
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912435300990976 |
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| author | Li, Haijun |
| author_facet | Li, Haijun |
| contents | Recently, Andrews and EI Bachraoui discovered several companions for some famous $q$-series formulas, and derived some new identities involving partitions and overpartitions with distinct parts. In this paper, we shall refine their results by the number of parts of partitions and furthermore, we will also provide the combinatorial proofs for those partition identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06640 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The combinatorics of identities involving overpartitions with distinct parts Li, Haijun Combinatorics 05A15, 05A17, 05A19 Recently, Andrews and EI Bachraoui discovered several companions for some famous $q$-series formulas, and derived some new identities involving partitions and overpartitions with distinct parts. In this paper, we shall refine their results by the number of parts of partitions and furthermore, we will also provide the combinatorial proofs for those partition identities. |
| title | The combinatorics of identities involving overpartitions with distinct parts |
| topic | Combinatorics 05A15, 05A17, 05A19 |
| url | https://arxiv.org/abs/2506.06640 |