Linear statistics for zeros of Riemann's zeta function.

DOI10.1016/S1631-073X(02)02541-4zbMath1085.11040arXivmath/0208220MaRDI QIDQ1860652

Chris Hughes, Ze'ev Rudnick

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208220

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (5)

Bootstrapped zero density estimates and a central limit theorem for the zeros of the zeta function ⋮ A weighted one-level density of families of \(L\)-functions ⋮ A CENTRAL LIMIT THEOREM FOR THE ZEROES OF THE ZETA FUNCTION ⋮ Strong Szegő Asymptotics and Zeros of the Zeta‐Function ⋮ Statistical properties of zeta functions' zeros

Cites Work

• Linear Statistics of Low-Lying Zeros of L-Functions
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