Random Matrix Theory and theDerivative of the
نویسنده
چکیده
Random matrix theory (RMT) is used to model the asymptotics of the discrete moments of the derivative of the Riemann zeta function, (s), evaluated at the complex zeros 1 2 + in, using the methods introduced by Keating and Snaith in 14]. We also discuss the probability distribution of ln j 0 (1=2 + in)j, proving the central limit theorem for the corresponding random matrix distribution and analysing its large deviations.
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