A New Approach to Signed Eulerian Numbers

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dc.creatorTanimoto, Shinji
dc.date2006-02-13
dc.date.accessioned2026-07-07T07:03:21Z
dc.date.available2026-07-07T07:03:21Z
dc.descriptionThe numbers of even and odd permutations with a given ascent number are investigated using an operator that was previously introduced by the author. Their difference is called a signed Eulerian number. By means of the operator the recurrence relation for signed Eulerian numbers is deduced, which was obtained by an analytic method. Our approach is straightforward and enables us to deduce other properties including divisibility by prime powers.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0602263
dc.identifierhttp://arxiv.org/abs/math/0602263
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108941
dc.subjectCombinatorics
dc.subject05A05, 20B30
dc.titleA New Approach to Signed Eulerian Numbers
dc.typetext

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