Fix-Mahonian Calculus, I: two transformations

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dc.creatorFoata, Dominique
dc.creatorHan, Guo-Niu
dc.date2007-03-04
dc.date.accessioned2026-07-07T07:50:12Z
dc.date.available2026-07-07T07:50:12Z
dc.descriptionWe construct two bijections of the symmetric group S_n onto itself that enable us to show that three new three-variable statistics are equidistributed with classical statistics involving the number of fixed points. The first one is equidistributed with the triplet (fix,des,maj), the last two with (fix,exc,maj), where "fix," "des," "exc" and "maj" denote the number of fixed points, the number of descents, the number of excedances and the major index, respectively.
dc.identifierhttps://arxiv.org/abs/math/0703099
dc.identifierhttp://arxiv.org/abs/math/0703099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125083
dc.subjectCombinatorics
dc.titleFix-Mahonian Calculus, I: two transformations
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