Dyson's new symmetry and generalized Rogers-Ramanujan identities

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dc.creatorBoulet, Cilanne
dc.date2006-07-05
dc.date.accessioned2026-07-07T07:18:04Z
dc.date.available2026-07-07T07:18:04Z
dc.descriptionWe present a generalization, which we call (k,m)-rank, of Dyson's notion of rank to integer partitions with k successive Durfee rectangles and give two combinatorial symmetries associated with this new definition. We prove these symmetries bijectively. Using the two symmetries we give a new combinatorial proof of generalized Roger-Ramanujan identities. We also describe the relationship between (k,m)-rank and Garvan's k-rank.
dc.identifierhttps://arxiv.org/abs/math/0607138
dc.identifierhttp://arxiv.org/abs/math/0607138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114171
dc.subjectCombinatorics
dc.subject05A17; 11P81
dc.titleDyson's new symmetry and generalized Rogers-Ramanujan identities
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