Titlebook: Virginia Woolf and the Modern Sublime; The Invisible Tribun Daniel T. O’Hara Book 2015 The Editor(s) (if applicable) and The Author(s) 2015

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