An explicit zero-free region for the Riemann zeta-function (Q5928663)
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scientific article; zbMATH DE number 1583358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An explicit zero-free region for the Riemann zeta-function |
scientific article; zbMATH DE number 1583358 |
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An explicit zero-free region for the Riemann zeta-function (English)
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1 April 2001
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Riemann zeta-function
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nontrivial zeros
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In the paper under review it is shown that the Riemann zeta-function \(\zeta(\sigma+it)\) does not vanish in NEWLINE\[NEWLINE\sigma>1-{1\over 952(\log t)^{2/3}(\log\log t)^{1/3}},\quad |t|\geq 3.NEWLINE\]NEWLINE This explicit zero-free region is obtained by the Vinogradov-Korobov method.
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