Distribution modulo 1 of a linear sequence associated to a multiplicative function evaluated at polynomial arguments (Q625846)
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scientific article; zbMATH DE number 5857684
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution modulo 1 of a linear sequence associated to a multiplicative function evaluated at polynomial arguments |
scientific article; zbMATH DE number 5857684 |
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Distribution modulo 1 of a linear sequence associated to a multiplicative function evaluated at polynomial arguments (English)
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25 February 2011
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The authors prove that the sequence \[ \sum_{m\leq n}\frac{\varphi(m^2+1)}{m^2+1},\quad n=1,2,\dots \] is dense modulo \(1\), where \(\varphi\) is Euler's function.
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distribution modulo 1
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Euler's function
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sieve
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