On the quintuple product identity

Hershel M. Farkas; Irwin Kra

doi:10.1090/s0002-9939-99-04791-7

On the quintuple product identity

Hershel M. Farkas^*
, Irwin Kra

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

In this note we present a new proof of the quintuple product identity which is based on our study of k^th order theta functions with characteristics and the identities they satisfy. In this context the quintuple product identity is another example of an identity which when phrased in terms of theta functions, rather than infinite products and sums, has a simpler form and is much less mysterious.

Original language	English
Pages (from-to)	771-778
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	3
DOIs	https://doi.org/10.1090/s0002-9939-99-04791-7
State	Published - 1999

Keywords

Euler pentagonal number theorem
Jacobi triple product
K order theta functions with characteristics
Partitions of integers
q-series

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10.1090/s0002-9939-99-04791-7

Cite this

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On the quintuple product identity

Abstract

Keywords

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