Algebraic Combinatorics Seminar
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UNIVERSITY OF KENTUCKY **

ALGEBRAIC COMBINATORICS SEMINAR

845 PATTERSON OFFICE TOWER

FALL 2005

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"A short proof of the Zeilberger-Bressoud q-Dyson theorem"

Guoce Xin

University of Kentucky

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Monday, September 26, 2005

3:00 pm, 845 Patterson Office Tower

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Abstract:

Andrews' q-Dyson conjecture asserts that the constant term of a
certain Laurent polynomial is a product of simple factors. It was
proposed by Andrews in 1975 and proved by Zeilberger and Bressoud in
1985. We give the second proof of the theorem by using partial
fractions and iterated Laurent series. The underlying idea is that two
polynomials of degree n agreeing at n+1 points are identical. This is
joint work with Ira Gessel.