Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:****Andrew Baxter**, Rutgers University, baxter{at} math [dot] rutgers [dot] edu**Lara Pudwell**, Rutgers University, lpudwell {at} math [dot] rutgers [dot] edu**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: On several extensions of the Dyson constant term identity

Speaker: **Guoce Xin**, Nankai University (Tianjin, China)

Date: Thursday, April 17, 2008 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

Dyson's conjecture asserts that the constant term of certain Laurent polynomial 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.