Une Nouvelle Transformation Pour Les Statistiques Euler–mahoniennes Ensemblistes

  • En hommage à Pierre Cartier
  • Published 2004


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. 2000 Math. Subj. Class. 05Axx, 05A30, 20B30. 

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