A motivated proof of the Göllnitz–Gordon–Andrews identities

被引：0
|
作者：
Bud Coulson
Shashank Kanade
James Lepowsky
Robert McRae
Fei Qi
Matthew C. Russell
Christopher Sadowski
机构：
[1] Rutgers University,Department of Mathematics
[2] University of Alberta,Department of Mathematical and Statistical Sciences
[3] Peking University,Beijing International Center for Mathematical Research
[4] Ursinus College,Department of Mathematics and Computer Science
来源：
The Ramanujan Journal | 2017年 / 42卷
关键词：
Göllnitz–Gordon–Andrews identities; Partition identities; Vertex operator algebras; 05A15; 05A17; 11P84; 17B69;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：97 / 129
页数：32
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