Signed Mahonians

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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.
23 pages

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/70152

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402208
 http://arxiv.org/abs/math/0402208

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arXiv