A Lower Bound for the de Bruijn-Newman Constant Λ. II

  • T. S. Norfolk
  • A. Ruttan
  • R. S. Varga
Conference paper
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 19)


A new constructive method is given here for determining lower bounds for the de Bruijn-Newman constant Λ, which is related to the Riemann Hypothesis. This method depends on directly tracking real and nonreal zeros of an entire function F λ(z), where λ < 0, instead of finding, as was previously done, nonreal zeros óf associated Jensen polynomials. We apply this new method to obtain the new lower bound for Λ,-0.385 < Λ, which improves previous published lower bounds of —50 and —5.


Entire Function Simple Zero Real Zero Riemann Hypothesis Computational Complex Analysis 
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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • T. S. Norfolk
    • 1
  • A. Ruttan
    • 1
  • R. S. Varga
    • 1
  1. 1.Department of Math. & Computer ScienceKent State UniversityKentUSA

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