EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 41(55), pp. 31--41 (1987)

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SUMS OF PRODUCTS OF CERTAIN ARTHMETICAL FUNCTIONS

Aleksandar Ivi\'c

Katedra za matematiki, RGF Univerziteta u Beogradu, Djusina, Beograd, Yugoslavia

Abstract: Sharp asymptotic formulae for certain sums of the type $\sum_{n\leq x}f(n)g(n)$ are derived, where $f$ is a suitable multiplicative and $g$ a suitable additive function. The proofs are based on an analytic method which consists of considering the Dirichlet series generated by $f(n)z^{g(n)}$, $z$ complex.

Classification (MSC2000): 10H25

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

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