An improved bound for the de Bruijn-Newman constant

DOI10.1023/A:1016677511798zbMath0967.11034OpenAlexW1632975364WikidataQ56081723 ScholiaQ56081723MaRDI QIDQ5934407

Andrew M. Odlyzko

Publication date: 19 June 2001

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016677511798

zbMATH Keywords

Riemann hypothesisde Bruijn-Newman constantLehmer pairzeta-function

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) Representations of entire functions of one complex variable by series and integrals (30D10) Evaluation of number-theoretic constants (11Y60)

Related Items (11)

A generalization of Newman's result on the zeros of Fourier transforms ⋮ On the de Bruijn-Newman constant ⋮ THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE ⋮ Constants of de Bruijn–Newman type in analytic number theory and statistical physics ⋮ Notes on Low discriminants and the generalized Newman conjecture ⋮ Complex Burgers Equation: A Probabilistic Perspective ⋮ 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 ⋮ Effective approximation of heat flow evolution of the Riemann \(\xi \) function, and a new upper bound for the de Bruijn-Newman constant ⋮ 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

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