Modular Equations of Degrees 3, 5, and 7 and Associated Theta-Function Identities

Bruce C. Berndt
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Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter Chapter 19 in Ramanujan’s Notebooks, 1991, pp 220-324 from Springer

Abstract: Abstract In several ways, this is a remarkable chapter. Not only are the results enormously interesting and often difficult to prove, but many questions arise in regard to Ramanujan’s methods of proof. Undoubtedly, many of the proofs given here are quite unlike those found by Ramanujan. He evidently possessed methods that we have been unable to discern. No hints whatsoever of his methods are provided by Ramanujan.

Keywords: Modular Form; Modular Equation; Foregoing Equality; Jacobi Triple Product Identity; Basic Bilateral Hypergeometric Series (search for similar items in EconPapers)
Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0965-2_5

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DOI: 10.1007/978-1-4612-0965-2_5

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