Some characterizations of totients (Q1912313)
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scientific article; zbMATH DE number 874302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some characterizations of totients |
scientific article; zbMATH DE number 874302 |
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Some characterizations of totients (English)
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26 September 1996
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An arithmetical function \(f\) is a totient if it has the form \(f = g*h^{-1}\) with completely multiplicative functions \(g,h\) (star is Dirichlet convolution). A typical example is Euler's function \(\varphi = \text{id}* e^{-1}\). The author gives several characterizations of totients and proves their properties. The proofs are elementary.
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arithmetical function
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totient
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completely multiplicative functions
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Dirichlet convolution
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