A weak Brun-Titchmarsh theorem for multiplicative functions (Q1267824)
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scientific article; zbMATH DE number 1210562
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A weak Brun-Titchmarsh theorem for multiplicative functions |
scientific article; zbMATH DE number 1210562 |
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A weak Brun-Titchmarsh theorem for multiplicative functions (English)
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27 January 1999
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The author gives a simple proof of a weaker version of a theorem of the reviewer [\textit{P. Shiu}, J. Reine Angew. Math. 313, 161-170 (1980; Zbl 0412.10030)] on the uniform estimate for a certain class of multiplicative functions over arithmetic progressions. It is relevant to mention the recent significant advance on such problems by \textit{M. Nair} and \textit{G. Tenenbaum} [Acta Math. 180, No. 1, 119--144 (1998; Zbl 0917.11048)].
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multiplicative functions
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arithmetic progressions
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Brun-Titchmarsh theorem
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0.7877377271652222
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0.7721471190452576
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0.7691947817802429
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0.7606745362281799
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