On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866917416601124864 |
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| author | Chen, Dandan Xu, Tianjian |
| author_facet | Chen, Dandan Xu, Tianjian |
| contents | We establish some new bilateral double-sum Rogers-Ramanujan identities involving parameters. As applications, these identities yield several new multi-sum Rogers-Ramanujan type identities. Our proofs utilize the theory of basic hypergeometric series in conjunction with the integral method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities Chen, Dandan Xu, Tianjian Combinatorics We establish some new bilateral double-sum Rogers-Ramanujan identities involving parameters. As applications, these identities yield several new multi-sum Rogers-Ramanujan type identities. Our proofs utilize the theory of basic hypergeometric series in conjunction with the integral method. |
| title | On Bilateral Multiple Sums and Rogers-Ramanujan Type Identities |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.17209 |