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