Article ID Journal Published Year Pages File Type
4656192 Journal of Combinatorial Theory, Series A 2008 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics