Dirichlet series with periodic coefficients
type: Item
instance of: scholarly article
title: Dirichlet series with periodic coefficients
zbMATH Open document ID: 0926.11063
DOI: 10.1007/BF03322023
author: M. Ishibashi
author: Shigeru Kanemitsu
published in: Results in Mathematics
publication date: 1999-12-02T00:00:00Z
review text: The authors study arithmetic functions \(f\) with positive period \(q\) and the associated Dirichlet series \(L(s,f)= \sum_{n=1}^\infty f(n)n^{-s}\) as generalizations of Dirichlet \(L\)-functions. They obtain closed form evaluations of \(L(k,f)\) and \(L^{(k)} (1,f)\) for positive integer \(k\), generalizing and unifying known results of many other authors. They also treat previous problems associated with products of several \(L\)-functions.
reviewed by: Tom M. Apostol
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 11N37
zbMATH DE Number: 1294483
zbMATH Keywords: periodic coefficients
zbMATH Keywords: products of \(L\)-functions
zbMATH Keywords: Dirichlet series
zbMATH Keywords: closed form evaluations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1294483