##### Accepted for publication in Electronic J. Combinatorics
(18 pages)

# Dominique Foata, Guo-Niu Han

#
SIGNED WORDS AND PERMUTATIONS, II; THE EULER-MAHONIAN POLYNOMIALS

**Abstract.**
As for the symmetric group of ordinary permutations there is
also a statistical study of the group of signed permutations,
that consists of calculating multivariable generating functions for
this group by statistics involving record values and the length
function. Two approaches are here systematically explored, using
the flag-major index on the one hand, and the flag-inversion number
on the other hand. The MacMahon Verfahren appears as
a powerful tool throughout.

foata at math.u-strasbg.fr, guoniu at math.u-strasbg.fr

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