Random polynomials, random matrices, and L-functions
classification
🧮 math-ph
math.MPmath.NT
keywords
randommatricespolynomialsappearancearisescircularensemblefamily
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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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