A comparative result for multiplicative functions
type: Item
instance of: scholarly article
title: A comparative result for multiplicative functions
zbMATH Open document ID: 1042.11060
DOI: 10.1023/A:1011624300084
author: R. Wagner
author: K.-H. Indlekofer
author: Imre Kátai
published in: Lithuanian Mathematical Journal
publication date: 2003-05-19T00:00:00Z
review text: Let \(f:\mathbb{N}\to \mathbb{C}\) and \(g:\mathbb{N}\to \mathbb{R}_{\geq 0}\) be multiplicative functions which satisfy \(| f|\leq g\). The authors compare the asymptotic behavior of the sums \(\sum_{n\leq x} f(n)\) and \(\sum_{n\leq x} g(n)\). They generalize celebrated mean-value theorems of E. Wirsing (1967) and G. Halász (1968). The proof is elementary and based on an idea of K.-H. Indlekofer (1993).
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11K65
zbMATH DE Number: 1912574
zbMATH Keywords: multiplicative arithmetical functions
zbMATH Keywords: asymptotic results on arithmetic functions
reviewed by: Jürgen Spilker
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1912574