A NOTE ON KADIRI%26apos;S EXPLICIT ZERO FREE REGION FOR RIEMANN ZETA FUNCTION

作者：Jang Woo Jin^*; Kwon Soun Hi

来源：Journal of the Korean Mathematical Society, 2014, 51(6): 1291-1304.

DOI：10.4134/JKMS.2014.51.6.1291

• Riemann zeta function
• zero-free regions
• Riemann Hypothesis

In 2005 Kadiri proved that the Riemann zeta function zeta(s) does not vanish in the region %26lt;br%26gt;Re(s) %26gt;= 1 - 1/R-0 log vertical bar Im(s)vertical bar, vertical bar Im(s)vertical bar %26gt;= 2 %26lt;br%26gt;with R-0 = 5.69693. In this paper we will show that R-0 can be taken R-0 = 5.68371 using Kadiri%26apos;s method together with Platt%26apos;s numerical verification of Riemann Hypothesis.

• 出版日期2014-11