Parity considerations in Andrews-Gordon identities

DOI10.1016/j.ejc.2009.06.002zbMath1227.05058OpenAlexW2078938172MaRDI QIDQ966151

Kağan Kurşungöz

Publication date: 27 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.06.002

zbMATH Keywords

generating function

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 (17)

Bressoud style identities for regular partitions and overpartitions ⋮ The Rogers-Ramanujan-Gordon identities, the generalized Göllnitz-Gordon identities, and parity questions ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Variations on a result of Bressoud ⋮ Bressoud's conjecture ⋮ Andrews-Gordon type series for Capparelli's and Göllnitz-Gordon identities ⋮ New companions to the generalizations of the Göllnitz-Gordon identities ⋮ Partitions with part difference conditions and Bressoud's conjecture ⋮ An Andrews-Gordon type identity for overpartitions ⋮ Andrews-Gordon type series for Schur's partition identity ⋮ The Bressoud-Göllnitz-Gordon theorem for overpartitions of even moduli ⋮ An overpartition analogue of the Andrews-Göllnitz-Gordon theorem ⋮ Andrews style partition identities ⋮ Partitions with parts separated by parity ⋮ Andrews-Gordon type series for Kanade-Russell conjectures ⋮ Overpartition analogues for the generalized Rogers-Ramanujan identities of Bressoud ⋮ Parity considerations in Rogers-Ramanujan-Gordon type overpartitions

Cites Work

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• Parity in partition identities
• A generalization of the Rogers-Ramanujan identities for all moduli
• Partially ordered sets and the Rogers-Ramanujan identities
• AN ANALYTIC GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES WITH INTERPRETATION
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• A Survey of Multipartitions Congruences and Identities
• Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
• Partitions and Durfee Dissection
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities

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