THE QUINTUPLE PRODUCT IDENTITY-Reference-Cited by-同舟云学术

THE QUINTUPLE PRODUCT IDENTITY

Published:2006-03 Issue:01 Volume:02 Page:115-161
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

COOPER SHAUN¹

Affiliation:

1. Institute of Information and Mathematical Sciences, Massey University — Albany, New Zealand

Abstract

The quintuple product identity was first discovered about 90 years ago. It has been published in many different forms, and at least 29 proofs have been given. We shall give a comprehensive survey of the work on the quintuple product identity, and a detailed analysis of the many proofs.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042106000401

Reference77 articles.

1. Mem. Am. Math. Soc., No. 315;Adiga C.,1985

2. The quintuple product identity and shifted partition functions

3. Applications of Basic Hypergeometric Functions

4. Two theorems of Gauss and allied identities proved arithmetically

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