Invited Speaker
Andrew Odlyzko
AT&T Bell Laboratories
Murray Hill, NJ

Talk: N/A
Contributions: Zeros of polynomials with 0,1 coefficients
On the Distribution of Spacings between Zeros of the Zeta Function

Paper: A nonlinear equation and its application to nearest neighbor spacings for zeros of the zeta function and eigenvalues of random matrices
Abstract: A certain nonlinear equation is used to compute the probability density function for the distance from an eigenvalue of a matrix from the GUE ensemble to the eigenvalue nearest to it. (The classical results concern distribution of the distances between consecutive eigenvalues.) Comparisons are made with the corresponding distribution for zeros of the Riemann zeta function, which are conjectured to behave like eigenvalues of large random GUE matrices.

About Myself

Andrew Odlyzko is the Head of the Mathematics and Cryptography Research Department at AT&T Research. He is also an Adjunct Professor in the Faculty of Mathematics at the University of Waterloo. His professional interests include computational complexity, cryptography, number theory, combinatorics, coding theory, analysis, and probability theory.