The Riemann Zeros and Eigenvalue Asymptotics

DOI10.1137/S0036144598347497zbMath0928.11036OpenAlexW1991057622WikidataQ56387050 ScholiaQ56387050MaRDI QIDQ4255833

Jonathan P. Keating, M. V. Berry

Publication date: 27 June 1999

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036144598347497

zbMATH Keywords

eigenvalue asymptoticsdynamical systemRiemann zeta-functionspectral asymptoticsRiemann hypothesisvibration frequenciesdynamical chaosnumber theoryprime number theorywave systemRiemann-Siegel formulaquantum eigenvaluesRiemann zerosquantum energies

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Quantum chaos (81Q50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) Quantum scattering theory (81U99) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

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