Inequalites for Dirichlet series with positive terms
type: Item
instance of: scholarly article
title: Inequalites for Dirichlet series with positive terms
zbMATH Open document ID: 1170.26012
published in: Acta Mathematica Vietnamica
publication date: 2008-10-20T00:00:00Z
review text: The authors consider Dirichlet series of the form \[ \psi(s):=\sum_{n=1}^\infty \frac{a_{n}}{n^s} \] with \(s>1\) and \(a_{n}\) nonnegative for \(n\geq 1\), and they prove several general inequalities for such functions. Some inequalities involving the function \(Q(s):=\frac{\zeta'(s)}{\zeta(s)}- \frac{\psi'(s)}{\psi(s)}\), where \(s>1\) and \(\zeta(s)\) is the classical Riemann's zeta function, are also obtained.
reviewed by: Stamatis Koumandos
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 11M38
Mathematics Subject Classification ID: 11M41
zbMATH DE Number: 5354280
zbMATH Keywords: Dirichlet series
zbMATH Keywords: zeta function
zbMATH Keywords: lambda function
zbMATH Keywords: analytic inequalities
author: P. Cerone
author: Silvestru Sever Dragomir
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5354280