Distribution of averages of Ramanujan sums (Q1927652)
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scientific article; zbMATH DE number 6120458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution of averages of Ramanujan sums |
scientific article; zbMATH DE number 6120458 |
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Distribution of averages of Ramanujan sums (English)
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2 January 2013
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The author studies weighted Ramanujan sums \(c_k(j)\) such as \(\sum^k_{j=1} j^r c_k(j)\); more exactly the distribution of values and the limiting behavior of a normalized form. His results involve Bernoulli numbers and odd values of the Riemann zeta function. He generalizes this to sets of Beurling-type integers.
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Ramanujan sums
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distribution of values
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