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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.19918 |
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| _version_ | 1866913370440990720 |
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| author | Chen, Y. H. He, Thomas Y. |
| author_facet | Chen, Y. H. He, Thomas Y. |
| contents | Bressoud introduced the partition function $B(α_1,\ldots,α_λ;η,k,r;n)$, which counts the number of partitions with certain difference conditions. Bressoud posed a conjecture on the generating function for the partition function $B(α_1,\ldots,α_λ;η,k,r;n)$ in multi-summation form. In this article, we introduce a bijection related to Bressoud's conjecture. As an application, we give a new companion to the Göllnitz-Gordon identities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A bijection related to Bressoud's conjecture Chen, Y. H. He, Thomas Y. Combinatorics Bressoud introduced the partition function $B(α_1,\ldots,α_λ;η,k,r;n)$, which counts the number of partitions with certain difference conditions. Bressoud posed a conjecture on the generating function for the partition function $B(α_1,\ldots,α_λ;η,k,r;n)$ in multi-summation form. In this article, we introduce a bijection related to Bressoud's conjecture. As an application, we give a new companion to the Göllnitz-Gordon identities. |
| title | A bijection related to Bressoud's conjecture |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2405.19918 |