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

Smolyarenko, I (Cambridge)
Monday 12 July 2004, 17:30-18:00

Seminar Room 1, Newton Institute


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.


[ppt ]


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