A NOTE ON KADIRI'S EXPLICIT ZERO FREE REGION FOR RIEMANN ZETA FUNCTION
In 2005 Kadiri proved that the Riemann zeta function ζ(s) does not vanish in the region Re(s) ≥ 1 − 1/R0 log|Im(s)| , |Im(s)| ≥ 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 Hypothesi...
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| Veröffentlicht in: | Journal of the Korean Mathematical Society 2014, 51(6), , pp.1291-1304 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In 2005 Kadiri proved that the Riemann zeta function ζ(s) does not vanish in the region Re(s) ≥ 1 − 1/R0 log|Im(s)| , |Im(s)| ≥ 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. KCI Citation Count: 2 |
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| ISSN: | 0304-9914 2234-3008 |
| DOI: | 10.4134/JKMS.2014.51.6.1291 |