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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2604.22267 |
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| _version_ | 1866917432903335936 |
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| author | Bhat, Shruthi C. Kumar, B. R. Srivatsa |
| author_facet | Bhat, Shruthi C. Kumar, B. R. Srivatsa |
| contents | In this research article, we obtain few theta function identities of level ten employing Ramanujan's $_1 ψ_1$ summation formula. Using these identities, we derive a new modular equation of degree five. Further, we establish Eisenstein series identities of level ten using Bailey's very-well poised $_6 ψ_6$ summation formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_22267 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a new modular equation of degree five and Eisenstein series identities of associated levels Bhat, Shruthi C. Kumar, B. R. Srivatsa Number Theory 11M36, 14H42, 11B65, 11F03 In this research article, we obtain few theta function identities of level ten employing Ramanujan's $_1 ψ_1$ summation formula. Using these identities, we derive a new modular equation of degree five. Further, we establish Eisenstein series identities of level ten using Bailey's very-well poised $_6 ψ_6$ summation formula. |
| title | On a new modular equation of degree five and Eisenstein series identities of associated levels |
| topic | Number Theory 11M36, 14H42, 11B65, 11F03 |
| url | https://arxiv.org/abs/2604.22267 |