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Triple correlation of the Riemann zeros

J. Brian Conrey;  Nina C. Snaith — 2008

Journal de Théorie des Nombres de Bordeaux

We use the conjecture of Conrey, Farmer and Zirnbauer for averages of ratios of the Riemann zeta function [11] to calculate all the lower order terms of the triple correlation function of the Riemann zeros. A previous approach was suggested by Bogomolny and Keating [6] taking inspiration from semi-classical methods. At that point they did not write out the answer explicitly, so we do that here,...

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