Journal of Combinatorial Theory, Series A, Volume 115, Issue 5, July 2008, p. 726-736.
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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