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# Random matrix theory and the Riemann zeros I : three-and four-point correlations

@inproceedings{Bogomolnyi1995RandomMT, title={Random matrix theory and the Riemann zeros I : three-and four-point correlations}, author={E B Bogomolnyi}, year={1995} }

- Published 1995

The non-trivial zeros of the Riemann zeta-function have been conjectured to be painvise distributed like the eigenvalues of matrices in the Gaussian Unitary Ensemble (CUE) of random matrix theory. They therefore behave like the energy levels of quantum systems whose classical limit is strongly chaotic and non-invariant with respect to time-reversal. We show that this analogy extends directly to higher-order statistics. Starting with an explicit formula relating the zeros to the prime numbenâ€¦Â CONTINUE READING

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