Mathematics – Combinatorics
Scientific paper
2004-02-12
Mathematics
Combinatorics
23 pages
Scientific paper
A classical result of MacMahon gives a simple product formula for the generating function of major index over the symmetric group. A similar factorial-type product formula for the generating function of major index together with sign was given by Gessel and Simion. Several extensions are given in this paper, including a recurrence formula, a specialization at roots of unity and type $B$ analogues.
Adin Ron M.
Gessel Ira M.
Roichman Yuval
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