"Overpartitionized" Rogers--Ramanujan type identities
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916590747910144 |
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| author | Alanazi, Abdulaziz Munagi, Augustine O. Sills, Andrew V. |
| author_facet | Alanazi, Abdulaziz Munagi, Augustine O. Sills, Andrew V. |
| contents | Many classical $q$-series identities, such as the Rogers--Ramanujan identities, yield combinatorial interpretations in terms of integer partitions. Here we consider algebraically manipulating some of the classical $q$-series to yield natural combinatorial interpretations in terms of overpartitions. Bijective proofs are supplied as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17826 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | "Overpartitionized" Rogers--Ramanujan type identities Alanazi, Abdulaziz Munagi, Augustine O. Sills, Andrew V. Combinatorics Many classical $q$-series identities, such as the Rogers--Ramanujan identities, yield combinatorial interpretations in terms of integer partitions. Here we consider algebraically manipulating some of the classical $q$-series to yield natural combinatorial interpretations in terms of overpartitions. Bijective proofs are supplied as well. |
| title | "Overpartitionized" Rogers--Ramanujan type identities |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2501.17826 |