Montgomery-Odlyzko Law

The Montgomery-Odlyzko law (which is a law in the sense of empirical observation instead of through mathematical proof) states that the distribution of the spacing between successive nontrivial zeros of the Riemann zeta function(suitably normalized) is statistically identical with the distribution of eigenvalue spacings in a Gaussian unitary ensemble.

REFERENCES:

Derbyshire, J. Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics. New York: Penguin, pp. 292-294 and 387, 2004.

Sabbagh, K. Dr. Riemann's Zeros: The Search for the $1 Million Solution to the Greatest Problem in Mathematics. Atlantic Books, pp. 134-136, 2002.