An extension to overpartitions of the Rogers-Ramanujan identities for even moduli

DOI10.1016/j.jnt.2007.03.016zbMath1144.11072OpenAlexW2090598696WikidataQ126252565 ScholiaQ126252565MaRDI QIDQ927714

Sylvie Corteel, Jeremy Lovejoy, Olivier Mallet

Publication date: 9 June 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.03.016

zbMATH Keywords

overpartitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (12)

Bressoud style identities for regular partitions and overpartitions ⋮ Ghost series and a motivated proof of the Andrews-Bressoud identities ⋮ Overpartitions and Bressoud's conjecture. I ⋮ Partitions with rounded occurrences and attached parts ⋮ Overpartitions, lattice paths, and Rogers-Ramanujan identities ⋮ Overpartition pairs and two classes of basic hypergeometric series ⋮ An Andrews-Gordon type identity for overpartitions ⋮ An overpartition analogue of the Andrews-Göllnitz-Gordon theorem ⋮ An overpartition analogue of Bressoud's theorem of Rogers-Ramanujan-Gordon type ⋮ Overpartition analogues for the generalized Rogers-Ramanujan identities of Bressoud ⋮ On weighted overpartitions related to some q-series in Ramanujan’s lost notebook ⋮ Generalizations of Dyson’s rank on overpartitions

Cites Work

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• Analytic and combinatorial generalizations of the Rogers-Ramanujan identities
• Partition Theorems Related to Some Identities of Rogers and Watson
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• Overpartitions
• A NOTE ON RANKS AND CONJUGACY OF PARTITIONS
• An Analytic Proof of the Rogers-Ramanujan-Gordon Identities
• Partition theorems related to the Rogers-Ramanujan identities
• Some new partition theorems
• A Generalization of the Gollnitz-Gordon Partition Theorems
• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• Sieves in the Theory of Partitions
• A New Proof of Rogers's Transformations of Infinite Series

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