The maximal order of certain arithmetic functions (Q686206)
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scientific article; zbMATH DE number 428057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The maximal order of certain arithmetic functions |
scientific article; zbMATH DE number 428057 |
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The maximal order of certain arithmetic functions (English)
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20 December 1993
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P. Erdős and S. K. Zaremba proved that \[ \varlimsup(\log\log n)^{- 2}\sum_{d| n} {\log d\over d}= e^ \gamma, \] where \(\gamma\) is Euler's constant. The authors show a more general theorem on additive functions which covers for example the functions \(\omega\) and \(\Omega\). Further they mention unitary analogues of these results.
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maximal order
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additive functions
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unitary analogues
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