Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\) (Q1747817)
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scientific article; zbMATH DE number 6865189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\) |
scientific article; zbMATH DE number 6865189 |
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Selberg's central limit theorem for \(\log|\zeta(1/2+it)|\) (English)
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27 April 2018
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Summary: We present a new and simple proof of Selberg's central limit theorem, according to which the logarithm of the Riemann zeta-function at height \(t\) is approximately normally distributed with mean 0 and variance \(\frac12\log\log t\).
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Riemann zeta-function
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value distribution
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central limit theorem
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