The n-level densities of low-lying zeros of quadratic Dirichlet L-functions

DOI10.4064/aa161-2-3zbMath1288.11085arXiv1208.0930OpenAlexW2964135202MaRDI QIDQ2859340

Jake Levinson, Steven J. Miller

Publication date: 7 November 2013

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0930

zbMATH Keywords

zerosDirichlet \(L\)-functionrandom matrix theoryquadratic character\(n\)-level density

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Relations with random matrices (11M50)

Related Items (10)

Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory ⋮ Small zeros of Dirichlet \(L\)-functions of quadratic characters of prime modulus ⋮ 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 ⋮ Maass Waveforms and Low-Lying Zeros ⋮ One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions ⋮ From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond ⋮ PAIR CORRELATION OF LOW-LYING ZEROS OF QUADRATIC -FUNCTIONS ⋮ Low-lying zeros of quadratic Dirichlet -functions: lower order terms for extended support

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