Arithmetic progressions that consist only of reduced residues (Q1599764)
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scientific article; zbMATH DE number 1751281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetic progressions that consist only of reduced residues |
scientific article; zbMATH DE number 1751281 |
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Arithmetic progressions that consist only of reduced residues (English)
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15 June 2003
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Let \(n,w\geq 1\) be fixed integers and \(u_{n,w}(n)=\# \{x: 1\leq x \leq m, \gcd (n+jx,m)=1, 1\leq j \leq w\}\). The author studies properties of the function \(u_{n,w}\), showing for example that it is multiplicative, and considers other similar functions.
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arithmetic progression
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reduced residue
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Euler phi function
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multiplicative function
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string-matrix
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0.7524294257164001
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0.7302947640419006
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0.7291508913040161
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