On some Euler-Mahonian Distributions

[摘要] We prove that the pair of statistics (des,maj) on multiset permutations is equidistributed with the pair (stc,inv) on certain quotients of the symmetric group. We define an analogue of the statistic stc on multiset permutations whose joint distribution wi

[学科分类] 离散数学和组合数学

[关键词] Permutation statistics;Generating functions