A classification of mahonian maj-inv statistics

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dc.creatorKasraoui, Anisse
dc.date2008-04-14
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:08:28Z
dc.date.available2026-07-07T12:08:28Z
dc.descriptionTwo well known mahonian statistics on words are the inversion number and the major index. In 1996, Foata and Zeilberger introduced generalizations, parameterized by relations, of these statistics. In this paper, we study the statistics which can be written as a sum of these generalized statistics. This leads to generalizations of some classical results. In particular, we characterize all such statistics which are mahonian.
dc.description18 pages. Some minor mistakes in Section 7 have been corrected
dc.identifierhttps://arxiv.org/abs/0804.2145
dc.identifierhttp://arxiv.org/abs/0804.2145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209329
dc.subjectCombinatorics
dc.titleA classification of mahonian maj-inv statistics
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