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

Abstract

In this research article, we obtain few theta function identities of level ten employing Ramanujan's 1 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 6 summation formula.

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