Ramanujan's modular equations of degree 5

DOI10.1007/s12044-012-0090-7zbMath1273.11073OpenAlexW2004701139MaRDI QIDQ351033

Jonali Bora, Nayandeep Deka Baruah, Kanan Kumari Ojah

Publication date: 3 July 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-012-0090-7

zbMATH Keywords

Elliptic integralModular equationMultiplierTheta-function

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05)

Related Items (2)

New Ramanujan type congruences modulo 5 for overpartitions ⋮ Precise estimates for the solution of Ramanujan's generalized modular equation

Cites Work

• Additive formulae of theta functions and modular equations of degree five
• Partition identities arising from theta function identities
• On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
• Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's Lost Notebook
• Some theorems on the explicit evaluation of Ramanujan's theta-functions
• A few theta-function identities and some of Ramanujan's modular equations
• Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Rama\-nujan
• Cranks and t-cores
• Partition identities and Ramanujan's modular equations
• On some sum–to–product identities
• Some Infinite Product Identities
• On Some Modular Equations of Degree 5
• Ramanujan’s forty identities for the Rogers-Ramanujan functions
• On some infinite product identities
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