Bressoud polynomials, Rogers-Ramanujan type identities, and applications

DOI10.1007/s11139-014-9661-9zbMath1352.05026OpenAlexW2123688946MaRDI QIDQ2520576

George E. Andrews

Publication date: 16 December 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-014-9661-9

zbMATH Keywords

mock theta functionsRogers-Ramanujan identitiesBressoud polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17)

Cites Work

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• Multiple series Rogers-Ramanujan type identities
• An easy proof of the Rogers-Ramanujan identities
• Variants of the Andrews-Gordon identities
• Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities
• Bailey pairs with free parameters, mock theta functions and tubular partitions
• The Fifth and Seventh Order Mock Theta Functions
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Further Identities of the Rogers-Ramanujan Type

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