An analog of Perron's formula
type: Item
instance of: scholarly article
title: An analog of Perron's formula
zbMATH Open document ID: 1049.40001
author: O. V. Kolpakova
published in: Moscow University Mathematics Bulletin
publication date: 2004-09-07T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 2098933
zbMATH Keywords: Dirichlet series
zbMATH Keywords: Perron formula
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2098933