Advances in Applied Mathematics (Special issue in honor of Dennis Stanton; edited by Mourad E.H. Ismail, Erik Koelink and Victor Reiner) 46, Issues 1-4 (2011), 296-311.

Dominique Foata and Guo-Niu Han

THE DECREASE VALUE THEOREM WITH AN APPLICATION TO PERMUTATION STATISTICS

Abstract. The decrease value theorem is restated and given a specialization more adapted to Permutation Statistic Calculus. As an application, the computation of a factorial several-variable generating function for the wreath product of the cyclic group of finite order by the symmetric group is given in full detail.

foata at unistra dot fr, guoniu dot han at unistra dot fr

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