English: Numerical simulation of the Montgomery-Odlyzko law for the nontrivial 1st 105 zeros of the Riemann zeta function ζ(s). The solid line is the two-point correlation function of the eigenvalues of a random Hermitian matrix taken from Gaussian unitary ensemble (GUE) and given by 1-(sin(πx)/πx)2. The blue symbols indicate the pair correlation function of normalized spacings δn=(γn+1-γn)*log(γn/2π)/2π between two consecutive nontrivial zeros 1/2+iγn and 1/2+iγn+1 (n=1,,,105) of the Riemann zeta function ζ(s).
Reference
A. M. Odlyzko,"On the distribution of spacings between zeros of the zeta function," Math. Comp.48 (1987), 273-308
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