A motivated proof of the Göllnitz–Gordon–Andrews identities

Bud Coulson; Shashank Kanade; James Lepowsky; Robert McRae; Fei Qi; Matthew C. Russell; Christopher Sadowski

doi:10.1007/s11139-015-9722-8

A motivated proof of the Göllnitz–Gordon–Andrews identities

Bud Coulson, Shashank Kanade, James Lepowsky, Robert McRae, Fei Qi, Matthew C. Russell, Christopher Sadowski

School of Arts and Sciences, Mathematics

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

6 Scopus citations

Abstract

We present what we call a “motivated proof” of the Göllnitz–Gordon–Andrews identities. A similar motivated proof of the Rogers–Ramanujan identities was previously given by G. E. Andrews and R. J. Baxter, and was subsequently generalized to Gordon’s identities by J. Lepowsky and M. Zhu. We anticipate that the present proof of the Göllnitz–Gordon–Andrews identities will illuminate certain twisted vertex-algebraic constructions.

Original language	English (US)
Pages (from-to)	97-129
Number of pages	33
Journal	Ramanujan Journal
Volume	42
Issue number	1
DOIs	https://doi.org/10.1007/s11139-015-9722-8
State	Published - Jan 1 2017

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Göllnitz–Gordon–Andrews identities
Partition identities
Vertex operator algebras

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10.1007/s11139-015-9722-8

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abstract = "We present what we call a “motivated proof” of the G{\"o}llnitz–Gordon–Andrews identities. A similar motivated proof of the Rogers–Ramanujan identities was previously given by G. E. Andrews and R. J. Baxter, and was subsequently generalized to Gordon{\textquoteright}s identities by J. Lepowsky and M. Zhu. We anticipate that the present proof of the G{\"o}llnitz–Gordon–Andrews identities will illuminate certain twisted vertex-algebraic constructions.",

keywords = "G{\"o}llnitz–Gordon–Andrews identities, Partition identities, Vertex operator algebras",

author = "Bud Coulson and Shashank Kanade and James Lepowsky and Robert McRae and Fei Qi and Russell, {Matthew C.} and Christopher Sadowski",

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T1 - A motivated proof of the Göllnitz–Gordon–Andrews identities

AU - Coulson, Bud

AU - Kanade, Shashank

AU - Lepowsky, James

AU - McRae, Robert

AU - Qi, Fei

AU - Russell, Matthew C.

AU - Sadowski, Christopher

PY - 2017/1/1

Y1 - 2017/1/1

N2 - We present what we call a “motivated proof” of the Göllnitz–Gordon–Andrews identities. A similar motivated proof of the Rogers–Ramanujan identities was previously given by G. E. Andrews and R. J. Baxter, and was subsequently generalized to Gordon’s identities by J. Lepowsky and M. Zhu. We anticipate that the present proof of the Göllnitz–Gordon–Andrews identities will illuminate certain twisted vertex-algebraic constructions.

AB - We present what we call a “motivated proof” of the Göllnitz–Gordon–Andrews identities. A similar motivated proof of the Rogers–Ramanujan identities was previously given by G. E. Andrews and R. J. Baxter, and was subsequently generalized to Gordon’s identities by J. Lepowsky and M. Zhu. We anticipate that the present proof of the Göllnitz–Gordon–Andrews identities will illuminate certain twisted vertex-algebraic constructions.

KW - Göllnitz–Gordon–Andrews identities

KW - Partition identities

KW - Vertex operator algebras

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JO - Ramanujan Journal

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A motivated proof of the Göllnitz–Gordon–Andrews identities

Abstract

All Science Journal Classification (ASJC) codes

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