DIMACS - RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

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

Co-organizers:

Drew Sills, Rutgers University, asills {at} math [dot] rutgers [dot] edu

Doron Zeilberger, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: Asymptotic Zero Distributions for Polynomials

Speaker: Robert Boyer, Drexel University

Date: January 27, 2005 4:30-5:30pm

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

Abstract:

Recently several researchers discovered that many natural sequences of polynomials have interesting limiting sets of zeros in the complex plane as their degrees go to infinity. These observations have been both empirical as well as rigorous. In recent work with Bill Goh, we have determined the limiting curve and zero distribution for the Euler and Bernoulli polynomials. This curve is related to the Szego curve, the limiting curve for the Taylor polynomials of the exponential. As time permits, I will also discuss open problems from combinatorics and graph theory.