Overpartitions, lattice paths and Rogers-Ramanujan identities

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dc.creatorCorteel, Sylvie
dc.creatorMallet, Olivier
dc.date2006-01-19
dc.date2006-12-22
dc.date.accessioned2026-07-07T07:36:49Z
dc.date.available2026-07-07T07:36:49Z
dc.descriptionWe extend partition-theoretic work of Andrews, Bressoud, and Burge to overpartitions, defining the notions of successive ranks, generalized Durfee squares, and generalized lattice paths, and then relating these to overpartitions defined by multiplicity conditions on the parts. This leads to many new partition and overpartition identities, and provides a unification of a number of well-known identities of the Rogers-Ramanujan type. Among these are Gordon's generalization of the Rogers-Ramanujan identities, Andrews' generalization of the Göllnitz-Gordon identities, and Lovejoy's ``Gordon's theorems for overpartitions."
dc.identifierhttps://arxiv.org/abs/math/0601463
dc.identifierhttp://arxiv.org/abs/math/0601463
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120558
dc.subjectCombinatorics
dc.subject11P81 05A17
dc.titleOverpartitions, lattice paths and Rogers-Ramanujan identities
dc.typetext

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