A Generalization of the Classical Partition Theorems

DOI10.2307/1995066zbMath0204.32502OpenAlexW4256685866MaRDI QIDQ5602952

George E. Andrews

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1995066

zbMATH Keywords

partitions restricted by inequalityrepetition conditions

Mathematics Subject Classification ID

Elementary theory of partitions (11P81)

Related Items (10)

Asymptotic analogs of the Rogers-Ramanujan identities ⋮ The Rogers-Ramanujan-Gordon identities, the generalized Göllnitz-Gordon identities, and parity questions ⋮ Parity in partition identities ⋮ Partitions with rounded occurrences and attached parts ⋮ Analytic proof of the partition identity \(A_{5,3,3}(n)=B_{5,3,3}^{0}(n)\) ⋮ A general theory of identities of the Rogers-Ramanujan type ⋮ Overpartition pairs and two classes of basic hypergeometric series ⋮ Partially ordered sets and the Rogers-Ramanujan identities ⋮ Partition Identities and Labels for Some Modular Characters ⋮ Partition identities

Cites Work

• Unnamed Item
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• A Generalization of the Gollnitz-Gordon Partition Theorems
• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• The nonexistence of certain identities in the theory of partitions and compositions

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