An Isaac Newton Institute Workshop

Matrix Ensembles and L-Functions

The geometry of zeros

15th July 2004

Author: David Farmer (American Institute of Mathematics)

Abstract

For both characteristic polynomials and L-functions, we will consider the relationship between zeros, large values, and zeros of the derivative. We will discuss the maximal order of the zeta-function, and we will describe some unsolved problems in random matrix theory that could illuminate difficult questions in number theory.