Eine Bemerkung zum Primzahlsatz. (A remark concerning the prime number theorem) (Q761489)
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scientific article; zbMATH DE number 3886003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eine Bemerkung zum Primzahlsatz. (A remark concerning the prime number theorem) |
scientific article; zbMATH DE number 3886003 |
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Eine Bemerkung zum Primzahlsatz. (A remark concerning the prime number theorem) (English)
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1985
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It is shown that the function \(\zeta^{1/k}(s)\) (k large) can be used to derive the prime number theorem from the known zero-free regions for the Riemann zeta-function. For the proof no upper bound for \(| \zeta '(s)/\zeta (s)|\) is required.
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prime number theorem
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zero-free regions
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Riemann zeta-function
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