An analog of Perron's formula (Q1878533)
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scientific article; zbMATH DE number 2098933
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analog of Perron's formula |
scientific article; zbMATH DE number 2098933 |
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An analog of Perron's formula (English)
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7 September 2004
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The author presents a proof of the formula for a mean value of the coefficients of the Dirichlet series with the weight of type \((1- \frac{x}{n})^\alpha\), where \(\alpha>0\) is an arbitrary nonintegral number, and \(\,n\leq x\) is the number of coefficients in the series. The formula is established by means of the method of contour integration.
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Dirichlet series
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Perron formula
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0.8708844
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0.86954904
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