Discrete Math., 139, 1995, p. 167-188.

Dominique Foata

Les distributions Euler-Mahoniennes sur les mots

Abstract. The purpose of this paper is to calculate the Euler-mahonian distribution over each rearrangement class R(c) of a given word. After updating MacMahon's calculation of this distribution, it is shown that the Schur function algebra gives all the necessary ingredients for deriving the distributions. Furthermore, the approach provides an extension of the calculation of some distributions over the colored biwords, as well as other multibasic hypergeometric extensions that are not reproduced.


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