Euler-Mahonian polynomials for C_a \wr S_n

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dc.creatorBernstein, Dan
dc.date2004-12-05
dc.date.accessioned2026-07-07T05:14:57Z
dc.date.available2026-07-07T05:14:57Z
dc.descriptionIn a recent paper, Regev and Roichman introduced the <_L order and the L-descent number statistic, des_L, on the group of colored permutations, C_a \wr S_n. Here we define the L-reverse major index statistic, rmaj_L, on the same group and study the distribution of des_L and the bi-statistic (des_L, rmaj_L). We obtain new wreath-product analogues of the Eulerian and q-Euler-Mahonian polynomials, and a generalization of Carlitz's identity.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0412091
dc.identifierhttp://arxiv.org/abs/math/0412091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73481
dc.subjectCombinatorics
dc.subject05A15
dc.titleEuler-Mahonian polynomials for C_a \wr S_n
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