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An Isaac Newton Institute Workshop

Matrix Ensembles and L-Functions

Ratios of zeta functions and characteristic polynomials

16th July 2004

Author: Nina Snaith (University of Bristol)

Abstract

This talk will describe the heuristic method of calculating averages of ratios of zeta and L-functions used by Conrey, Farmer and Zirnbauer to generalize conjectures of Farmer. It will include applications of these ratio formulae and a new method devised with Conrey and Forrester will be discussed for calculating the analogous random matrix quantities.