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Random matrix theory and the derivative of the Riemann zeta function
Title  Random matrix theory and the derivative of the Riemann zeta function 
Publication Type  Journal Article 
Year of Publication  2000 
Authors  Hughes C, Keating JP, O'Connell N 
Journal  Proc. R. Soc. Lond. Proc. A 
Volume  456 
Pagination  26112627 
Abstract  Random matrix theory is used to model the asymptotics of the discrete moments of the derivative of the Riemann zeta function, $\zeta(s)$, evaluated at the complex zeros $1/2 + i\gamma_n$.
We also discuss the probability distribution of $\ln\zeta'(1/2+i\gamma_n)$, proving the central limit theorem for the corresponding random matrix distribution and analysing its large deviations.

DOI  10.1098/rspa.2000.0628 
MathRev  MR1799857

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Edited 7 Oct 2009  14:37 by ch540
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