A motivated proof of Gordon's identities

2012/05/30 by James Lepowsky, Lepowsky, James, Minxian Zhu +1 · 1 citation
Mathematics · #05A15 #05A17 #11P84 #17B69 #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A15 #msc:05A17 #msc:11P84 #msc:17B69

paper · pdf · doi:10.48550/arxiv.1205.6570

11 pages, to appear in the Ramanujan Journal

arxiv created 2012/05/30 · arxiv updated 2012/05/31

Abstract

We generalize the "motivated proof" of the Rogers-Ramanujan identities given by Andrews and Baxter to provide an analogous "motivated proof" of Gordon's generalization of the Rogers-Ramanujan identities. Our main purpose is to provide insight into certain vertex-algebraic structure being developed.

Cited by

• A motivated proof of the Göllnitz-Gordon-Andrews identities

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