New Two-Line Arrays Representing Partitions

dc.creatorSantos, JPO
dc.creatorMondek, P
dc.creatorRibeiro, AC
dc.date2011
dc.dateJUN
dc.date2014-07-30T14:48:21Z
dc.date2015-11-26T16:45:02Z
dc.date2014-07-30T14:48:21Z
dc.date2015-11-26T16:45:02Z
dc.date.accessioned2018-03-28T23:30:34Z
dc.date.available2018-03-28T23:30:34Z
dc.identifierAnnals Of Combinatorics. Birkhauser Verlag Ag, v. 15, n. 2, n. 341, n. 354, 2011.
dc.identifier0218-0006
dc.identifierWOS:000292037900011
dc.identifier10.1007/s00026-011-0099-0
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/61908
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/61908
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1274104
dc.descriptionWe present combinatorial interpretations for sums into two parameters from which we have, as special cases, combinatorial interpretations for many identities of Slater's list including Rogers-Ramanujan identities, unrestricted partitions, and Lebesgue's partition identity. In this work we are representing a number as a vector and providing representation of this vector as a sum of vectors. It is possible to write this representation as a two-line matrix which can be interpreted as lattice paths. We provide three distinct representations for unrestricted partitions. One of them has the property of giving a complete description for the conjugate partition.
dc.description15
dc.description2
dc.description341
dc.description354
dc.languageen
dc.publisherBirkhauser Verlag Ag
dc.publisherBasel
dc.publisherSuíça
dc.relationAnnals Of Combinatorics
dc.relationAnn. Comb.
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectpartitions
dc.subjectRogers-Ramanujan identities
dc.subjectRamanujan-type Identities
dc.subjectFamily
dc.titleNew Two-Line Arrays Representing Partitions
dc.typeArtículos de revistas


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