A new lower bound for the de Bruijn-Newman constant

DOI10.1007/BF01385647zbMath0704.11058OpenAlexW2146492295MaRDI QIDQ916716

Herman J. J. te Riele

Publication date: 1991

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133523

zbMATH Keywords

Sturm sequencede Bruijn-Newman constantJensen polynomial

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Evaluation of number-theoretic constants (11Y60)

Related Items (8)

THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE ⋮ Constants of de Bruijn–Newman type in analytic number theory and statistical physics ⋮ The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis ⋮ Early work of N. G. (Dick) de Bruijn in analysis and some of my own ⋮ An improved lower bound for the de Bruijn-Newman constant ⋮ Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis ⋮ Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases ⋮ A proof of Newman’s conjecture for the extended Selberg class

Cites Work

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• A lower bound for the de Bruijn-Newman constant \(\Lambda\)
• The roots of trigonometric integrals
• The Riemann Hypothesis and the Turan Inequalities
• Fourier Transforms with Only Real Zeros
• On the General Hermite Cardinal Interpolation

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