Gram's law for the zeta zeros and the eigenvalues of Gaussian unitary ensembles

DOI10.3792/PJAA.63.392zbMath0636.10031OpenAlexW2086162241WikidataQ114844626 ScholiaQ114844626MaRDI QIDQ1097917

Akio Fujii

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.392

zbMATH Keywords

Poisson distributionzeros of Riemann zeta-functionGram's lawMontgomery's pair correlation conjectureeigenvalues of the Gaussian Unitary Ensemblesspheroidal functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (3)

Gram's law in the theory of the Riemann zeta-function. I ⋮ On the distribution of the zeros of the Riemann zeta function in short intervals ⋮ Good-to-Bad Gram Point Ratio for Riemann Zeta Function

Cites Work

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• The probabilities for several consecutive eigenvalues of a random matrix
• On the Zeros of the Riemann Zeta Function in the Critical Strip. IV
• Shorter Notes: A Remark on the Multiplicity of the Discrete Spectrum of Congruence Groups
• On the Zeros of Dirichlet L-Functions. I
• A prime number theorem in the theory of the Riemann zeta function.
• On the Distribution of Spacings Between Zeros of the Zeta Function
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• On the distribution of the zeros of the Riemann zeta function in short intervals

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