Complex-valued multiplicative functions with monotonicity properties (Q1206293)
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scientific article; zbMATH DE number 148686
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex-valued multiplicative functions with monotonicity properties |
scientific article; zbMATH DE number 148686 |
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Complex-valued multiplicative functions with monotonicity properties (English)
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1 April 1993
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It is a well-known result of Erdős that if \(f\) is a real-valued monotonic multiplicative function such that \(f(n)\neq 0\) for all \(n\), then \(f(n)=n^ k\). Similar results concerning complex-valued functions and sets of upper density one are also given in the literature. The present paper continues this work.
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completely multiplicative function
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power function
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monotonic multiplicative function
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