A remark on a theorem of H. Daboussi (Q1085204)
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scientific article; zbMATH DE number 3981277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on a theorem of H. Daboussi |
scientific article; zbMATH DE number 3981277 |
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A remark on a theorem of H. Daboussi (English)
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1986
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Let \(t(n)\) be an arithmetical function. It is shown that \(F(n)+t(n)\) is uniformly distributed mod 1 for every additive function \(F\) if there is a sequence \(P_k\) of sets of primes with the property that \(\sum_{p\in P_k} \frac1p\to \infty\) and \(t(pn)-t(qn)\) is uniformly distributed mod 1 for every \(p,q\in P_k\), \(p\neq q\).
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uniform distribution mod one
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additive function
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