A bijective proof of the quintuple product identity

Sun Kim

doi:10.1142/S1793042110002909

A bijective proof of the quintuple product identity

Sun Kim^*

^*Corresponding author for this work

Department of Mathematics

University of Illinois at Urbana-Champaign

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

We give a bijective proof of the quintuple product identity using bijective proofs of Jacobi's triple product identity and Euler's recurrence relation.

Original language	English
Pages (from-to)	247-256
Number of pages	10
Journal	International Journal of Number Theory
Volume	6
Issue number	2
DOIs	https://doi.org/10.1142/S1793042110002909
State	Published - 2010.03

Keywords

Euler's pentagonal number theorem
Jacobi triple product identity
Quintuple product identity
Theta functions

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title = "A bijective proof of the quintuple product identity",

abstract = "We give a bijective proof of the quintuple product identity using bijective proofs of Jacobi's triple product identity and Euler's recurrence relation.",

keywords = "Euler's pentagonal number theorem, Jacobi triple product identity, Quintuple product identity, Theta functions",

author = "Sun Kim",

year = "2010",

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KW - Euler's pentagonal number theorem

KW - Jacobi triple product identity

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KW - Theta functions

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JF - International Journal of Number Theory

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A bijective proof of the quintuple product identity

Abstract

Keywords

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