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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.29284 |
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| _version_ | 1866910088267038720 |
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| author | Bhat, Shruthi C. Kumar, B. R. Srivatsa |
| author_facet | Bhat, Shruthi C. Kumar, B. R. Srivatsa |
| contents | By employing the classical tools from the theory of $q$-series and theta functions, new fascinating identities on different continued fractions can be achieved. In this article, we use the product expansion of Jacobi's theta function to establish identities that connect Ramanujan-Göllnitz-Gordon continued fraction with Ramanujan's continued fraction of order four. Also, we obtain Eisenstein series identities using Ramanujan's $_1 ψ_1$ summation formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29284 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Eisenstein series identities and new identities connecting Ramanujan-Göllnitz-Gordon continued fraction and Ramanujan's continued fraction of order four Bhat, Shruthi C. Kumar, B. R. Srivatsa Number Theory 11A55, 14K25, 20C20, 30B70 By employing the classical tools from the theory of $q$-series and theta functions, new fascinating identities on different continued fractions can be achieved. In this article, we use the product expansion of Jacobi's theta function to establish identities that connect Ramanujan-Göllnitz-Gordon continued fraction with Ramanujan's continued fraction of order four. Also, we obtain Eisenstein series identities using Ramanujan's $_1 ψ_1$ summation formula. |
| title | On Eisenstein series identities and new identities connecting Ramanujan-Göllnitz-Gordon continued fraction and Ramanujan's continued fraction of order four |
| topic | Number Theory 11A55, 14K25, 20C20, 30B70 |
| url | https://arxiv.org/abs/2603.29284 |