| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9515578 | Journal of Combinatorial Theory, Series A | 2005 | 19 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Ron M. Adin, Ira M. Gessel, Yuval Roichman,