Higher Combinatorics [1976. Berlin, M. Aigner, ed.], p. 27-49. Boston, Dordrecht, 1977.
Dominique Foata
Distributions eulériennes et mahoniennes sur le groupe des permutations
Abstract.
A statistic defined on the group of permutations is said to be Eulerian (resp. Mahonian) if it has the same distribution as the number of rises (resp. the sum of the positions of the inversions). Univariate and multivariate distributions of several such statistics are explicitly calculated.
foata@unistra.fr
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