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A generalisation of the quintuple product identity

Part of: Combinatorics

Published online by Cambridge University Press:  09 April 2009

M. D. Hirschhorn
M. D. Hirschhorn
Affiliation:
School of Mathematics University of New South WalesKensington, N.S.W. 2033, Australia
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Abstract

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The quintuple product identity has appeared many times in the literature. Indeed, no fewer than 12 proofs have been given. We establish a more general identity from which the quintuple product identity follows in two ways.

MSC classification

Secondary: 05A17: Partitions of integers 05A19: Combinatorial identities, bijective combinatorics
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 44 , Issue 1 , February 1988 , pp. 42 - 45
Copyright
Copyright © Australian Mathematical Society 1988

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