Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912558133280768 |
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| author | Chen, Dandan Zou, Ziyin |
| author_facet | Chen, Dandan Zou, Ziyin |
| contents | Recently Andrews and Bachraoui proved identities relating certain restricted partitions into distinct even parts with restricted 4-regular partitions by the theory of basic hypergeometric series. They also posed a question regarding combinatorial proofs for these results. In this paper, we establish bijections to provide combinatorial proofs for these results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14126 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions Chen, Dandan Zou, Ziyin Combinatorics Recently Andrews and Bachraoui proved identities relating certain restricted partitions into distinct even parts with restricted 4-regular partitions by the theory of basic hypergeometric series. They also posed a question regarding combinatorial proofs for these results. In this paper, we establish bijections to provide combinatorial proofs for these results. |
| title | Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2410.14126 |