A note on Kadiri's explicit zero free region for Riemann zeta function (Q2929763)
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scientific article; zbMATH DE number 6369568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Kadiri's explicit zero free region for Riemann zeta function |
scientific article; zbMATH DE number 6369568 |
Statements
14 November 2014
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Riemann zeta function
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Riemann hypothesis
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zero free region
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A note on Kadiri's explicit zero free region for Riemann zeta function (English)
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Strengthening a result of \textit{H. Kadiri} [Acta Arith. 117, No. 4, 303--339 (2005; Zbl 1101.11029)] by improving his argument, the authors show that the Riemann zeta function has no zeros in the region NEWLINE\[NEWLINE\mathrm{Re} (s)\geq 1-\; \frac{1}{R\log |\mathrm{Im} (s)|} ,\quad |\mathrm{Im} (s)|\; \geq 2 ,NEWLINE\]NEWLINE NEWLINEwhere \(R=5.68371\). Kadiri's constant was \(R=5.69693\).
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