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

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Ramanujan’s Notebooks
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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.

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© 1991 Springer Science+Business Media New York

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Berndt, B.C. (1991). Modular Equations of Degrees 3, 5, and 7 and Associated Theta-Function Identities. In: Ramanujan’s Notebooks. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0965-2_5

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  • DOI: https://doi.org/10.1007/978-1-4612-0965-2_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6963-2

  • Online ISBN: 978-1-4612-0965-2

  • eBook Packages: Springer Book Archive

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