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arXiv · 2604.22267

On a new modular equation of degree five and Eisenstein series identities of associated levels

Shruthi C. Bhat·B. R. Srivatsa Kumar
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Abstract

In this research article, we obtain few theta function identities of level ten employing Ramanujan's $_1 \psi_1$ 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 $_6 \psi_6$ summation formula.

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Shruthi C. Bhat, B. R. Srivatsa Kumar. 2026-04-24. On a new modular equation of degree five and Eisenstein series identities of associated levels. https://arxiv.org/abs/2604.22267

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