New two-line arrays representing partitions

DOI10.1007/s00026-011-0099-0zbMath1246.05015OpenAlexW2016722391MaRDI QIDQ659639

Andréia C. Ribeiro, Santos, José Plínio O., Mondek, Paulo

Publication date: 24 January 2012

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-011-0099-0

zbMATH Keywords

partitionsRogers-Ramanujan identities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (11)

On a new formula for the number of unrestricted partitions ⋮ Formulas for the number of partitions related to the Rogers-Ramanujan identities ⋮ Unnamed Item ⋮ Combinatorial interpretations as two-line array for the mock theta functions ⋮ Identities for partitions generated by the unsigned versions of some mock theta functions ⋮ Bijective proofs using two-line matrix representations for partitions ⋮ Combinatorial interpretations of mock theta functions by attaching weights ⋮ A new approach to integer partitions ⋮ A new approach and generalizations to some results about mock theta functions ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Multiple series Rogers-Ramanujan type identities
• A family of partitions with attached parts and `N copies of N'
• On the combinatorics of polynomial generalizations of Rogers-Ramanujan-type identities
• A family of partition identities proved combinatorially
• \(q\)-Pell sequences and two identities of V. A. Lebesgue
• Extending theorems of Göllnitz, a new family of partition identities
• IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE
• Further Identities of the Rogers-Ramanujan Type

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