Number variance of the zeros of the Epstein zeta functions

DOI10.3792/pjaa.70.140zbMath0819.11031OpenAlexW2011694903MaRDI QIDQ1340357

Akio Fujii

Publication date: 19 December 1994

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.70.140

zbMATH Keywords

binary quadratic formnumber of zerosvarianceasymptotic formulaEpstein zeta-functionGUE law

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41)

Cites Work

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• On the distribution of the zeros of the Riemann zeta function in short intervals
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• Semiclassical formula for the number variance of the Riemann zeros
• Hilbert's Inequality
• On Epstein's zeta function
• On the zeros of Epstein's zeta function
• On Indefinite Quadratic Forms in Five Variables