A Comparative Result for Multiplicative Functions |
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| Authors: | Indlekofer K.-H. Wagner R. Kátai I. |
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| Affiliation: | (1) Fachbereich Mathematik und Informatik, Universität Paderborn, Warburger Str. 100, D-33098 Paderborn, Germany;(2) Eötvös Loránd Tudományegyetem, Komputer Algebra Tanszék, H-1117 Budapest Pázmány Péter sétány 1/D, Hungary |
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| Abstract: | In this paper, we compare the asymptotic behavior of  n xf(n) and nxg(n) for multiplicative functions f and g, respectively, where |f| g. Our results extend relevant theorems by E. Wirsing and G. Hal@aacute;sz. The methods we use are elementary. |
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| Keywords: | multiplicative arithmetical functions asymptotic results on arithmetic functions |
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