On general series-product identities

Sin Da Chen; Sen Shan Huang

doi:10.1142/S1793042109002596

On general series-product identities

Sin Da Chen, Sen Shan Huang

Department of Mathematics

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

We derive the general series-product identities from which we deduce several applications, including an identity of Gauss, the generalization of Winquist's identity by Carlitz and Subbarao, an identity for (x; x)_∞¹⁰, the quintuple product identity, and the octuple product identity.

Original language	English
Pages (from-to)	1129-1148
Number of pages	20
Journal	International Journal of Number Theory
Volume	5
Issue number	6
DOIs	https://doi.org/10.1142/S1793042109002596
Publication status	Published - 2009 Oct 22

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

Chen, S. D., & Huang, S. S. (2009). On general series-product identities. International Journal of Number Theory, 5(6), 1129-1148. https://doi.org/10.1142/S1793042109002596

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Access to Document

10.1142/S1793042109002596