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Showing 1 to 4 of 4 for “"Quintuple product identity"”.
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Product Identities for Theta Functions
… n and a finite number of its translates, certain products of theta functions can be written as linear combinations of other products of theta functions. Many known identities, including M. D. Hirschhorn's generalization of the quintuple product identity, several modular relations for the …
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Infinite Series Identities in the Theory of Elliptic Functions and Q-Series
… method to establish a multi-variable theta product identity of a function of k + 1 complex variables. In Chapter 4, we give a simple new proof of the classical theta-function inversion formula. In Chapter 5, we give two general methods for proving q-series-product identities. The first …
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Bijective proofs of partition identities and covering systems
… a bijective proof of a more general partition identity, with the Farkas and Kra partition theorem being a special case. We then derive three further general partition identities and give bijective proofs of these as well. The quintuple product identity is one of the most famous and useful …