n-Level Density of the Low-lying Zeros of Quadratic Dirichlet L-Functions

DOI10.1093/imrn/rns261zbMath1331.11067arXiv0806.4830OpenAlexW2068003461MaRDI QIDQ2878724

Peng Gao

Publication date: 5 September 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.4830

zbMATH Keywords

Fourier transformDirichlet \(L\)-functionlow-lying zeros\(n\)-level densitydensity conjecture

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (10)

LOWER-ORDER TERMS OF THE ONE-LEVEL DENSITY OF A FAMILY OF QUADRATIC HECKE -FUNCTIONS ⋮ ONE-LEVEL DENSITY OF LOW-LYING ZEROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS ⋮ Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory ⋮ \(n\)-level density of the low-lying zeros of primitive Dirichlet \(L\)-functions ⋮ One-level density of quadratic twists of $L$-functions ⋮ Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields ⋮ Orthogonal and symplectic 𝑛-level densities ⋮ One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions ⋮ Low-lying zeros of quadratic Dirichlet -functions: lower order terms for extended support

This page was built for publication: n-Level Density of the Low-lying Zeros of Quadratic Dirichlet L-Functions