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Parametric RMT, discrete symmetries, \& cross-correlations between zeros of L-functions

Presented by: 
I Smolyarenko [Cambridge]
Date: 
Monday 12th July 2004 - 17:30 to 18:00
Venue: 
INI Seminar Room 1
Session Title: 
Matrix Ensembles and L-Functions
Abstract: 

I will describe numerical and analytical results on cross-correlations between zeros of different L-functions. By analogy with parametric spectral correlations in random matrix theory and in dynamical systems, these cross-correlations can be used to establish the concept of a "distance" in the space of (conjectural) generalised Riemann operators, and to gain some insight into their overall structure.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons