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A NOTE ON KADIRI'S EXPLICIT ZERO FREE REGION FOR RIEMANN ZETA FUNCTION
- Authors
- Jang, Woo-Jin; Kwon, Soun-Hi
- Issue Date
- 11월-2014
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Riemann zeta function; zero-free regions; Riemann Hypothesis
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.51, no.6, pp.1291 - 1304
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 51
- Number
- 6
- Start Page
- 1291
- End Page
- 1304
- ISSN
- 0304-9914
- 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.
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