A NOTE ON KADIRI'S EXPLICIT ZERO FREE REGION FOR RIEMANN ZETA FUNCTION

Abstract

In 2005 Kadiri proved that the Riemann zeta function zeta(s) does not vanish in the region Re(s) >= 1 - 1/R-0 log vertical bar Im(s)vertical bar, vertical bar Im(s)vertical bar >= 2 with R-0 = 5.69693. In this paper we will show that R-0 can be taken R-0 = 5.68371 using Kadiri's method together with Platt's numerical verification of Riemann Hypothesis.