# RMA

## Seminar

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

Seminar Room 1, Newton Institute

#### 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.