Dale James Raymond

Retuned translated probes and the conditional bound Λ < 0.116398 for the de Bruijn–Newman constant

Assume that every nontrivial zero of the Riemann zeta function has real part at most 7/8. This paper proves the computer-assisted upper bound Λ ≤ 116397726408291/10^15 = 0.116397726408291 < 0.116398 for the de Bruijn–Newman constant in the Polymath normalisation. The alternate ra...