An Andrews-Gordon type identity for overpartitions

DOI10.1007/s11139-014-9605-4zbMath1322.05020OpenAlexW1995371931MaRDI QIDQ496345

Doris D. M. Sang, Diane Y. H. Shi

Publication date: 21 September 2015

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

Full work available at URL: https://doi.org/10.1007/s11139-014-9605-4

zbMATH Keywords

generating functionoverpartitionAndrews-Gordon identity: Gordon markingRogers-Ramanujan-Gordon theorem

Mathematics Subject Classification ID

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

Related Items (5)

Bressoud style identities for regular partitions and overpartitions ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Linked partition ideals and a family of quadruple summations ⋮ The Bressoud-Göllnitz-Gordon theorem for overpartitions of even moduli ⋮ Overpartition analogues for the generalized Rogers-Ramanujan identities of Bressoud

Cites Work

• A generalization of the Rogers-Ramanujan identities for all moduli
• An extension to overpartitions of the Rogers-Ramanujan identities for even moduli
• Parity considerations in Andrews-Gordon identities
• Gordon's theorem for overpartitions.
• An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type
• The Rogers-Ramanujan-Gordon theorem for overpartitions
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
• Overpartitions
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities

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