Classifying Descents According to Parity

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dc.creatorKitaev, Sergey
dc.creatorRemmel, Jeffrey
dc.date2005-08-29
dc.date.accessioned2026-07-07T05:22:45Z
dc.date.available2026-07-07T05:22:45Z
dc.descriptionIn this paper we refine the well-known permutation statistic "descent" by fixing parity of (exactly) one of the descent's numbers. We provide explicit formulas for the distribution of these (four) new statistics. We use certain differential operators to obtain the formulas. Moreover, we discuss connection of our new statistics to the Genocchi numbers. We also provide bijective proofs of some of our results.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0508570
dc.identifierhttp://arxiv.org/abs/math/0508570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76186
dc.subjectCombinatorics
dc.subject05A15
dc.titleClassifying Descents According to Parity
dc.typetext

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