Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities

DOI10.1023/A:1013999906576zbMath0993.05014arXivmath/0104053OpenAlexW1822547253MaRDI QIDQ1597196

Alexander Berkovich, Paule, Peter

Publication date: 12 May 2002

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

Full work available at URL: https://arxiv.org/abs/math/0104053

zbMATH Keywords

Andrews-Gordon identities\(q\)-series identitiesweighted lattice paths\(q\)-multinomialsRogers-Ramanujan partition

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Analytic theory of partitions (11P82)

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Applications of Gaussian binomials to coding theory for deletion error correction ⋮ Paths for \({\mathcal{Z}}_k\) parafermionic models ⋮ Jagged partitions and lattice paths ⋮ Overpartitions, lattice paths, and Rogers-Ramanujan identities ⋮ Paths and partitions: Combinatorial descriptions of the parafermionic states ⋮ Fermi-gas interpretation of the RSOS path representation of the superconformal unitary minimal models ⋮ Bressoud polynomials, Rogers-Ramanujan type identities, and applications ⋮ Multiple partitions, lattice paths and a Burge-Bressoud-type correspondence ⋮ A new path description for the {\cal M} (k+1,2k+3) models and the dual {\cal Z}_k graded parafermions

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