Signed Mahonians

Details Signed Mahonians Signed Mahonians

2004-02-12

arxiv.org/abs/math/0402208v1

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.

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