2009-03-01, English, Article, Journal or magazine article edition: A classification of mahonian maj-inv statistics. Kasraoui, Anisse

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2009 March
Language
  • English

Edition details

Title
  • A classification of mahonian maj-inv statistics.
Appears In
  • Advances in Applied Mathematics, v.42, no.3, 2009 March, p.342(16) (ISSN: 0196-8858)
Author
  • Kasraoui, Anisse
Published
  • Elsevier B.V., 2009 March
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.aam.2008.07.004 Byline: Anisse Kasraoui Keywords: Words; Permutations; Mahonian statistics; Major index; Inversion number; Graphical major index; Graphical inversion number; Second fundamental transformation Abstract: Two well-known mahonian statistics on words are the inversion number and the major index. In 1996, Foata and Zeilberger introduced generalizations, parametrized 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. Author Affiliation: Universite de Lyon, Universite Lyon 1, CNRS, UMR5208, Institut Camille Jordan, INSA de Lyon, F-69621, Ecole centrale de Lyon, 43, boulevard du 11 novembre 1918, F-69622 Villeurbanne Cedex, France Article History: Received 14 April 2008; Accepted 14 July 2008
Terms of Use
  • COPYRIGHT 2009 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 195145863

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