Localization of the first zero of the Dedekind zeta function

DOI10.1090/S0025-5718-01-01305-9zbMath1050.11098MaRDI QIDQ2723532

Sami Omar

Publication date: 5 July 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

zerosDedekind zeta functiondiscriminants

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Zeta functions and (L)-functions of number fields (11R42) Software, source code, etc. for problems pertaining to number theory (11-04) Analytic computations (11Y35)

Related Items (4)

Note on the Contribution of Low Zeros to Weil's Explicit Formula for Minimal Discriminants ⋮ A computational approach to the generalized Riemann hypothesis ⋮ Non-vanishing of Dirichlet L-functions at the Central Point ⋮ Toward verification of the Riemann hypothesis: application of the Li criterion

Cites Work

• Minorations de discriminants [d’après A. M. Odlyzko]
• Zeros of Dedekind zeta functions in the critical strip
• Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
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