##### Department of Mathematics,

University of California San Diego

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### Math 269 - Combinatorics

## Guoce Xin

#### Center for Combinatorics \\ Nankai University

## On several extensions of the Dyson constant term identity

##### Abstract:

Dyson's conjecture asserts that the constant term of certain Laurent polynomial in the form of a product is the multinomial coefficients. It was studied by many authors, including a proof by the Nobel prize winner Wilson, an elegant recursive proof by Good, and a combinatorial proof by Zeilberger. I will talk about an elementary approach by using basic property of polynomials to several extensions of the Dyson constant term identity.

Host: Adriano Garsia

### May 6, 2008

### 4:00 PM

### AP&M 7321

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