Fix-Mahonian Calculus, II: further statistics

Details Fix-Mahonian Calculus, II: further statistics Fix-Mahonian Calculus, II: further statistics

2007-03-04

arxiv.org/abs/math/0703101v1

Mathematics

Combinatorics

Scientific paper

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.

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