A unitary test of the Ratios Conjecture

DOI10.1016/J.JNT.2010.02.020zbMath1276.11141arXiv0909.4916OpenAlexW1998592359WikidataQ123255917 ScholiaQ123255917MaRDI QIDQ708261

Ryan Peckner, David Montague, John Goes, Thuy Pham, Kesinee Ninsuwan, Steven J. Miller, Steven Glenn Jackson

Publication date: 11 October 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4916

zbMATH Keywords

Dirichlet \(L\)-functionsDirichlet characters1-level densitylow-lying zerosRatios conjecture

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Random matrices (algebraic aspects) (15B52) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

Omega results for cubic field counts via lower-order terms in the one-level density ⋮ Symplectic n-level densities with restricted support ⋮ Some Results in the Theory of Low-Lying Zeros of Families of L-Functions ⋮ Determining optimal test functions for 2-level densities ⋮ Orthogonal and symplectic 𝑛-level densities ⋮ One-level density of families of elliptic curves and the Ratios Conjecture ⋮ An elliptic curve test of the \(L\)-functions ratios conjecture

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