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 › peer-review

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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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