# Random polynomials, random matrices and L-functions

@article{Farmer2006RandomPR,
title={Random polynomials, random matrices and L-functions},
author={David W. Farmer and Francesco Mezzadri and Nina C. Snaith},
journal={Nonlinearity},
year={2006},
volume={19},
pages={919-936}
}
• Published 20 September 2005
• Mathematics
• Nonlinearity
We show that the circular orthogonal ensemble of random matrices arises naturally from a family of random polynomials. This sheds light on the appearance of random matrix statistics in the zeros of the Riemann zeta-function.
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