... distribution,the Ramanujan Journal, 2007.[16] D. Foa t a and G N. Han, The q-tangent and q-secant numbers via basic Eulerianpolynomials, preprint.[17] D. Foata and M P. Sch¨utzenberger, Major index and ... proofs of these results also appear in Sections 3 and 4. A q-analog and equivariant version of Theorem 1.1 are derived a s consequences in Section 5.Recall that the m ajor index, maj(σ), of a ... Foata and G N. Han, Fix Mahonian calculus III; A quadruple dis tribution, Monat-shefte fr Mathematik, 154 (2008), 177–197.[15] D. Foa t a and G N. Han, Sign ed words and permutations V; a sextuple...