An identity for a class of arithmetical functions of several variables (Q1210465)
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scientific article; zbMATH DE number 179256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An identity for a class of arithmetical functions of several variables |
scientific article; zbMATH DE number 179256 |
Statements
An identity for a class of arithmetical functions of several variables (English)
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14 November 1993
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Für die trigonometrischen Ramanujan-Summen \(C(n;r)\) hat \textit{K. R. Johnson} [Elem. Math. 38, 122-124 (1983; Zbl 0516.10002)] die Summen \(\sum_{d\mid n} | C(d;r)|\) berechnet. Diese Formel wurde später auf mehrere Variable und auf Faltungen von arithmetischen Funktionen erweitert. Verf. beweist eine Identität, die alle bekannten umfaßt.
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identity
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arithmetical functions of several variables
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Ramanujan sums
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0.9625948
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0.9226298
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0.9047804
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0.90299785
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0.9003384
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0.8999411
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0.89225423
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