Euler-Mahonian polynomials for Ca≀Sn

The L-reverse major index statistic, rmaj"L, is defined on the group of colored permutations, C"[email protected]?S"n, using the <"L order and the L-descent number statistic, des"L, which were recently introduced by Regev and Roichman. The distribution of des"L and the bi-statistic (des"L,rmaj"L) is studied, yielding new wreath-product analogues of the Eulerian and q-Euler-Mahonian polynomials, and a generalization of Carlitz's identity.