Low-lying zeros of dihedral \(L\)-functions

DOI10.1215/S0012-7094-03-11621-XzbMath1028.11055OpenAlexW1971470118WikidataQ101167833 ScholiaQ101167833MaRDI QIDQ1872812

Étienne Fouvry

Publication date: 23 June 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-03-11621-x

zbMATH Keywords

zeros\(L\)-functionsquadratic fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Other Dirichlet series and zeta functions (11M41) Applications of sieve methods (11N36) Zeta functions and (L)-functions of number fields (11R42)

Related Items (25)

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 ⋮ Symplectic n-level densities with restricted support ⋮ ONE-LEVEL DENSITY OF LOW-LYING ZEROS OF QUADRATIC HECKE L-FUNCTIONS OF IMAGINARY QUADRATIC NUMBER FIELDS ⋮ Low-lying zeros of \(L\)-functions with orthogonal symmetry ⋮ One-level density estimates for Dirichlet \(L\)-functions with extended support ⋮ Some Results in the Theory of Low-Lying Zeros of Families of L-Functions ⋮ Families of L-Functions and Their Symmetry ⋮ Simultaneous nonvanishing of automorphic \(L\)-functions at the central point ⋮ Determining optimal test functions for 2-level densities ⋮ Low-lying zeros of number field \(L\)-functions ⋮ Orthogonal and symplectic 𝑛-level densities ⋮ One-level density for holomorphic cusp forms of arbitrary level ⋮ An elliptic curve test of the \(L\)-functions ratios conjecture ⋮ Small first zeros of \(L\)-functions ⋮ A unitary test of the Ratios Conjecture ⋮ Non-vanishing of class group \(L\)-functions at the central point. ⋮ Computing $L$-functions with large conductor ⋮ Maass Waveforms and Low-Lying Zeros ⋮ ON ASYMPTOTIC VALUES OF CANONICAL QUADRATIC L-FUNCTIONS ⋮ One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions ⋮ From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond ⋮ Lower order terms for the one-level density of elliptic curve \(L\)-functions ⋮ Hilbert spaces and low-lying zeros of \(L\)-functions ⋮ Some arithmetic problems related to class group \(L\)-functions

Cites Work

• Petits zéros de fonctions L de formes modulaires
• Zeroes of zeta functions and symmetry
• Low lying zeros of families of \(L\)-functions
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