The zeta function on the critical line: Numerical evidence for moments and random matrix theory models

DOI10.1090/S0025-5718-2011-02573-1zbMath1269.11074arXiv1008.2173MaRDI QIDQ2894531

Andrew M. Odlyzko, Ghaith Ayesh Hiary

Publication date: 29 June 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2173

zbMATH Keywords

momentsRiemann zeta functionOdlyzko-Schönhage algorithm

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Relations with random matrices (11M50) Analytic computations (11Y35)

Related Items

The Mean Values of the Riemann Zeta-Function on the Critical Line, Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem, The distribution of values of zeta and \(L\)-functions, Derivative moments for characteristic polynomials from the CUE, Large Values of the Zeta-Function on the Critical Line, Uniform asymptotics for the full moment conjecture of the Riemann zeta function, Computing the moment polynomials of the zeta function

Uses Software

• R

Cites Work

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