A criterion for generalized Ramanujan sums (Q915758)
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scientific article; zbMATH DE number 4152450
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion for generalized Ramanujan sums |
scientific article; zbMATH DE number 4152450 |
Statements
A criterion for generalized Ramanujan sums (English)
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1990
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The author gives a necessary and sufficient condition for a multiplicative arithmetic function of two variables n and k to be a generalized Ramanujan sum of the type studied by \textit{D. R. Anderson} and \textit{T. M. Apostol} [Duke Math. J. 20, 211-216 (1953; Zbl 0050.042)], that is, of the form \(\sum_{d| (n,k)}f(d)g(k/d)\). No sufficient conditions have previously been published.
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even functions
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multiplicative arithmetic function of two variables
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generalized Ramanujan sum
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