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Moscow Mathematical Journal, 2004, Volume 4, Number 1, Pages 131–152
DOI: https://doi.org/10.17323/1609-4514-2004-4-1-131-152 (Mi mmj145) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Une nouvelle transformation pour les statistiques Euler-mahoniennes ensemblistes

D. Foata, G.-N. Han

University Louis Pasteur
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DOI: https://doi.org/10.17323/1609-4514-2004-4-1-131-152
Abstract: The construction of a bijection of the symmetric group onto itself is given that has the property of mapping a pair of set-statistics onto another pair. As a consequence, it is shown that a pair of Euler–Mahonian statistics has a symmetric distribution.
Key words and phrases: Permutation statistics, Euler–Mahonian statistics, symmetric groups, set-valued statistic equidistribution.
Received: October 16, 2002
Bibliographic databases:
MSC: 05Axx, 05A30, 20B30
Language: English
Citation: D. Foata, G.-N. Han, “Une nouvelle transformation pour les statistiques Euler-mahoniennes ensemblistes”, Mosc. Math. J., 4:1 (2004), 131–152
Citation in format AMSBIB
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\by D.~Foata, G.-N.~Han
\paper Une nouvelle transformation pour les statistiques Euler-mahoniennes ensemblistes
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 1
\pages 131--152
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