Signed Mahonians

نویسندگان

  • Ron M. Adin
  • Ira M. Gessel
  • Yuval Roichman
چکیده

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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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 109  شماره 

صفحات  -

تاریخ انتشار 2005