Some New Congruences and Partition-Theoretic Interpretations for the Coefficients of Some Rogers-Ramanujan Type Identities
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918091067228160 |
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| author | Biswas, Sabi Saikia, Nipen |
| author_facet | Biswas, Sabi Saikia, Nipen |
| contents | Ramanujan listed several q-series identities in his lost notebook. The most well
known q-series identities are the Rogers-Ramanujan type identities which are first discovered
by Rogers and then rediscovered by Ramanujan. In this paper, we give partition-theoretic
interpretations of some of the Rogers-Ramanujan type identities using overpartition and
colour partition of positive integers, and prove infinite families of congruences modulo powers
of 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10020 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some New Congruences and Partition-Theoretic Interpretations for the Coefficients of Some Rogers-Ramanujan Type Identities Biswas, Sabi Saikia, Nipen Number Theory Ramanujan listed several q-series identities in his lost notebook. The most well known q-series identities are the Rogers-Ramanujan type identities which are first discovered by Rogers and then rediscovered by Ramanujan. In this paper, we give partition-theoretic interpretations of some of the Rogers-Ramanujan type identities using overpartition and colour partition of positive integers, and prove infinite families of congruences modulo powers of 2. |
| title | Some New Congruences and Partition-Theoretic Interpretations for the Coefficients of Some Rogers-Ramanujan Type Identities |
| topic | Number Theory |
| url | https://arxiv.org/abs/2507.10020 |