The product of partial theta functions

George E. Andrews; S. Ole Warnaar

doi:10.1016/j.aam.2005.12.003

The product of partial theta functions

George E. Andrews
, S. Ole Warnaar

Mathematics

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

In this paper, we prove a new identity for the product of two partial theta functions. An immediate corollary is Warnaar's generalization of the Jacobi triple product identity.

Original language	English (US)
Pages (from-to)	116-120
Number of pages	5
Journal	Advances in Applied Mathematics
Volume	39
Issue number	1
DOIs	https://doi.org/10.1016/j.aam.2005.12.003
State	Published - Jul 2007

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/j.aam.2005.12.003

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title = "The product of partial theta functions",

abstract = "In this paper, we prove a new identity for the product of two partial theta functions. An immediate corollary is Warnaar's generalization of the Jacobi triple product identity.",

author = "Andrews, \{George E.\} and Warnaar, \{S. Ole\}",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (G.E. Andrews), [email protected] (S.O. Warnaar). 1 Partially supported by National Science Foundation Grant DMS 0200047. 2 Supported by the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems.",

year = "2007",

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AU - Andrews, George E.

AU - Warnaar, S. Ole

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (G.E. Andrews), [email protected] (S.O. Warnaar). 1 Partially supported by National Science Foundation Grant DMS 0200047. 2 Supported by the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems.

PY - 2007/7

Y1 - 2007/7

N2 - In this paper, we prove a new identity for the product of two partial theta functions. An immediate corollary is Warnaar's generalization of the Jacobi triple product identity.

AB - In this paper, we prove a new identity for the product of two partial theta functions. An immediate corollary is Warnaar's generalization of the Jacobi triple product identity.

UR - https://www.scopus.com/pages/publications/34247503765

UR - https://www.scopus.com/pages/publications/34247503765#tab=citedBy

U2 - 10.1016/j.aam.2005.12.003

DO - 10.1016/j.aam.2005.12.003

M3 - Article

AN - SCOPUS:34247503765

SN - 0196-8858

VL - 39

SP - 116

EP - 120

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

IS - 1

ER -

The product of partial theta functions

Abstract

All Science Journal Classification (ASJC) codes

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