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math.CO2004
A Short Proof of the Zeilberger-Bressoud -Dyson Theorem
Ira M. Gessel, Guoce Xin
We give a formal Laurent series proof of Andrews's -Dyson Conjecture, first proved by Zeilberger and Bressoud.
math.CO2004★ 1 cited
A triple lacunary generating function for Hermite polynomials
Ira M. Gessel, Pallavi Jayawant
Some of the classical orthogonal polynomials such as Hermite, Laguerre, Charlier, etc. have been shown to be the generating polynomials for certain combinatorial objects. These com…
math.CO2004
Signed Mahonians
Ron M. Adin, Ira M. Gessel, Yuval Roichman
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…