Asymptotic estimate of the sum of a Dirichlet series on curves
type: Item
instance of: scholarly article
title: Asymptotic estimate of the sum of a Dirichlet series on curves
zbMATH Open document ID: 0919.30003
DOI: 10.1007/BF02361209
published in: Mathematical Notes
publication date: 1999-01-11T00:00:00Z
review text: Let \(F(s)\) be the sum of entire Dirichlet series \(\sum^\infty_{n =1} a_n\exp (\lambda_ns)\) where \(\sum^\infty_{n=1} {1\over\lambda^2_n} <\infty\) and let \(\gamma\) be a curve going to infinity so that if \(s\in\gamma\) and \(s\to \infty\) then \(Re(s)\to +\infty\). The author gives under general conditions an asymptotic estimate of \(F(s)\) on \(\gamma\).
Mathematics Subject Classification ID: 30B50
zbMATH DE Number: 1238023
author: A. M. Gaisin
reviewed by: Borislav Crstici
MaRDI profile type: Publication
cites work: On the asymptotic paths of entire functions with gap power series
cites work: Q4190882
cites work: Q3853890
cites work: The deficiency of entire functions with Fejer gaps
cites work: An estimate of a Dirichlet series with real coefficients on a ray
cites work: Asymptotic Paths of Integral Functions with Gap Power Series
full work available at URL: https://doi.org/10.1007/bf02361209
OpenAlex ID: W1969768118
description: scientific article; zbMATH DE number 1238023