2007/03/04 by Dominique Foata, Foata, Dominique, Guo-Niu Han +1
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #Constraint Satisfaction and Optimization #FOS: Mathematics #math.CO
paper · pdf · doi:10.48550/arxiv.math/0703101
arxiv created 2007/03/04 · openalex publication_date 2007/03/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.