to appear in J. Combinatorial Theory, Ser. A

Dominique Foata, Guo-Niu Han

FIX-MAHONIAN CALCULUS, II: FURTHER STATISTICS

Abstract. Using classical transformations on the symmetric group and two transformations constructed in Fix-Mahonian Calculus I, we show that several multivariable statistics are equidistributed either with the triplet (fix,des,maj), or the pair (fix,maj), where ``fix," ``des" and ``maj" denote the number of fixed points, the number of descents and the major index, respectively.

foata at math dot u-strasbg dot fr, guoniu at math dot u-strasbg dot fr

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