A BIJECTIVE PROOF OF THE QUINTUPLE PRODUCT IDENTITY-Reference-Cited by-同舟云学术

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A BIJECTIVE PROOF OF THE QUINTUPLE PRODUCT IDENTITY

Published:2010-03 Issue:02 Volume:06 Page:247-256
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

KIM SUN¹

Affiliation:

1. Department of Mathematics, University of Illinois, 1409, West Green Street, Urbana, IL 61801, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042110002909

Reference6 articles.

1. Bijecting Euler's Partitions-Recurrence

2. THE QUINTUPLE PRODUCT IDENTITY

3. Lie algebraic approaches to classical partition identities

4. A Combinatorial Proof of the Triple Product Identity

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A combinatorial proof of a recurrence relation for the sum of divisors function;International Journal of Number Theory;2020-07-07

2. Sum to Product Identities;Ramanujan's Theta Functions;2017

3. Level 8: The Ramanujan–Göllnitz–Gordon Continued Fraction;Ramanujan's Theta Functions;2017

4. Ramanujan’s Series for 1∕π;Ramanujan's Theta Functions;2017

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