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Über Mittelwerte multiplikativer zahlentheoretischer Funktionen mehrerer Variablen

On mean-values of multiplicative number-theoretic functions of several variables

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Abstract

In [8] the author extended the concept of “neighbouring functions” (cp. [9]) to the case of several variables. Using these results it is shown that under some weak conditions a multiplicative functionf in two variables has a mean-value different from zero if and only if the two multiplicative functionsf 1(n)=f(n, 1) andf 2(n)=f(1,n) have mean-values different from zero. Applications to theorems ofDelange [3],Elliott [6] andDaboussi [1] are given.

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Literatur

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Authors and Affiliations

  1. Fachbereich Mathematik der Universität, Robert-Mayer-Straße 10, D-6000, Frankfurt a. M., Bundesrepublik Deutschland

    Ernst Heppner

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  1. Ernst Heppner
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Heppner, E. Über Mittelwerte multiplikativer zahlentheoretischer Funktionen mehrerer Variablen. Monatshefte für Mathematik 91, 1–9 (1981). https://doi.org/10.1007/BF01306953

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  • DOI: https://doi.org/10.1007/BF01306953

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