An \(\Omega\)-theorem \dots : Addendum (Q1100229)
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scientific article; zbMATH DE number 4042019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An \(\Omega\)-theorem \dots : Addendum |
scientific article; zbMATH DE number 4042019 |
Statements
An \(\Omega\)-theorem \dots : Addendum (English)
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1988
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It is proved in ibid. 103, 145-157 (1987; Zbl 0606.10035) that the error term associated with the summatory function of the divisor function \(\sigma_{-1}\) satisfies \((1)\quad E_{-1}(x)=\Omega_-(\log \log x).\) In this addendum it is pointed out that the same method also yields \((2)\quad E_{-1}(x)=\Omega_+(\log \log x),\) and that one may assign the value \(e^{\gamma}/2\) to both the constants implied by (1) and (2).
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omega estimates
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error term
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summatory function
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divisor function
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