Sponsored by the Rutgers University Department of Mathematics and the
Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

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


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.