
Invited Speaker Andrew Odlyzko Researcher AT&T Bell Laboratories Murray Hill, NJ 
Email: 
amo@research.att.com 
Homepage: 
ftp://netlib.att.com/netlib/att/math/odlyzko/index.html.Z 
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.

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.