On some new modular relations for a remarkable product of theta-functions

DOI10.2478/tmj-2014-0006zbMath1304.11025OpenAlexW1992139769MaRDI QIDQ482650

B. Hemanthkumar, Sathyanarayana Chandankumar, Megadahalli S. Mahadeva Naika

Publication date: 6 January 2015

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://eprints-bangaloreuniversity.in/2935/1/On%20some%20new%20modular%20relations%20for%20a%20remarkable%20product%20of.pdf

zbMATH Keywords

modular equationstheta-functionsRamanujan's notebooksremarkable product of theta-functions

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Continued fractions (11A55) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

• On some new \(P\)-\(Q\) mixed modular equations
• Ramanujan's identities for Eta-functions
• A new class of theta-function identities originating in Ramanujan's notebooks
• Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction.
• On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions
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