Two theta-function identities for the Ramanujan-Selberg continued fraction and applications

DOI10.1016/J.JNT.2014.12.020zbMath1308.11005OpenAlexW1993463520MaRDI QIDQ2257314

Nipen Saikia

Publication date: 24 February 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.12.020

zbMATH Keywords

reciprocity formulasRamanujan-Selberg continued fractiontheta-function identitiesexplicit evaluations

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Continued fractions (11A55)

Related Items (3)

Properties of reciprocity formulas for the Rogers-Ramanujan continued fractions ⋮ A note of a modular equation of Ramanujan-Selberg continued fraction ⋮ Some new explicit values of Ramanujan-Selberg continued fraction

Cites Work

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• Modular relations and explicit values of Ramanujan-Selberg continued fractions
• Hypergeometric series and continued fractions
• Ramanujan's Schläfli-type modular equations and class invariants \(g_n\)
• Explicit evaluations of a Ramanujan-Selberg continued fraction
• Ramanujan’s modular equations and Weber–Ramanujan class invariants G n and g n

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