Partially ordered sets and the Rogers-Ramanujan identities

DOI10.1007/BF01834042zbMath0298.10011OpenAlexW4246386482MaRDI QIDQ1214454

George E. Andrews

Publication date: 1975

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136485

zbMATH Keywords

Rogers-Ramanujan identitiespartition identitiesSylvester's identityGordon's generalization of Rogers-Ramanujan identities

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

Topological strings, quiver varieties, and Rogers-Ramanujan identities, Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities, Modulo d extension of parity results in Rogers–Ramanujan–Gordon type overpartition identities, A correspondence between partitions related to generalizations of the Rogers-Ramanujan identities, The method of combinatorial telescoping, A three-way correspondence between partitions, Classical partition functions and the \(U(n+1)\) Rogers-Selberg identity, Andrews style partition identities, Parity considerations in Andrews-Gordon identities, A combinatorial proof of the Rogers--Ramanujan and Schur identities

Cites Work

• Unnamed Item
• Partition identities
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• On the Alder Polynomials and a New Generalization of the Rogers-Ramanujan Identities
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• A Generalization of the Classical Partition Theorems
• Generalizations of the Durfee Square
• Sieves in the Theory of Partitions