Sequences of odd length in strict partitions IV: the combinatorics of parameterized Rogers-Ramanujan type identities
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918150702891008 |
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| author | Li, Haijun |
| author_facet | Li, Haijun |
| contents | In the first three papers, we conducted a series of discussions on the statistics of strict partitions and Rogers-Ramanujan partitions, specifically the sequences of odd length (denoted as $\mathrm{sol}$) and its extensions. We established bijections for some Rogers-Ramanujan type identities. This paper will continue that series of work, and first we will use the bijective method to re-establish several parameterized Rogers-Ramanujan type identities, which appeared in the recent work of Hao-Kuai-Xia and Li-Wang. Moreover, we focus on the work of Chen-Yin and parameterize their main results, where the $\mathrm{sol}$ has evolved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24942 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sequences of odd length in strict partitions IV: the combinatorics of parameterized Rogers-Ramanujan type identities Li, Haijun Combinatorics 11P84, 05A17, 05A19 In the first three papers, we conducted a series of discussions on the statistics of strict partitions and Rogers-Ramanujan partitions, specifically the sequences of odd length (denoted as $\mathrm{sol}$) and its extensions. We established bijections for some Rogers-Ramanujan type identities. This paper will continue that series of work, and first we will use the bijective method to re-establish several parameterized Rogers-Ramanujan type identities, which appeared in the recent work of Hao-Kuai-Xia and Li-Wang. Moreover, we focus on the work of Chen-Yin and parameterize their main results, where the $\mathrm{sol}$ has evolved. |
| title | Sequences of odd length in strict partitions IV: the combinatorics of parameterized Rogers-Ramanujan type identities |
| topic | Combinatorics 11P84, 05A17, 05A19 |
| url | https://arxiv.org/abs/2509.24942 |