Low-lying zeros of quadratic Dirichlet -functions: lower order terms for extended support

DOI10.1112/S0010437X17007059zbMath1403.11057arXiv1601.06833OpenAlexW3098450802MaRDI QIDQ5274771

James Parks, Anders Södergren, Daniel Fiorilli

Publication date: 6 July 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06833

zbMATH Keywords

generalized Riemann hypothesisKronecker symbolzeros of \(L\)-functions

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

LOWER-ORDER TERMS OF THE ONE-LEVEL DENSITY OF A FAMILY OF QUADRATIC HECKE -FUNCTIONS ⋮ Omega results for cubic field counts via lower-order terms in the one-level density ⋮ Low-lying zeros of cubic Dirichlet \(L\)-functions and the ratios conjecture ⋮ Zeros of quadratic Dirichlet $L$-functions in the hyperelliptic ensemble ⋮ One-level density of quadratic twists of $L$-functions ⋮ Lower order terms for the one-level density of a symplectic family of Hecke \(L\)-functions ⋮ Dirichlet characters and low-lying zeros of \(L\)-functions

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