Parity-Alternate Permutations and Signed Eulerian Numbers

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dc.creatorTanimoto, Shinji
dc.date2006-12-06
dc.date.accessioned2026-07-07T07:34:40Z
dc.date.available2026-07-07T07:34:40Z
dc.descriptionIn order to study signed Eulerian numbers, we introduce permutations of a particular type, called parity-alternate permutations, because they take even and odd entries alternately. The objective of this paper is twofold. The first is to derive several properties of those permutations, by subdividing them into even and odd ones. The second is to discuss relationships between those and signed Eulerian numbers. Divisibility properties by prime powers are also deduced for signed Eulerian numbers and several related numbers.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0612135
dc.identifierhttp://arxiv.org/abs/math/0612135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119848
dc.subjectCombinatorics
dc.subject05A05
dc.titleParity-Alternate Permutations and Signed Eulerian Numbers
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