Geodesic
Sums of Products of Certain Arthmetical Functions
Publications de l'Institut Mathématique, _N_S_41 (1987) no. 55, p. 31 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 : 10H25 
@article{PIM_1987_N_S_41_55_a3,
     author = {Aleksandar Ivi\'c},
     title = {Sums of {Products} of {Certain} {Arthmetical} {Functions}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {31 },
     year = {1987},
     volume = {_N_S_41},
     number = {55},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1987_N_S_41_55_a3/}
}
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Aleksandar Ivić. Sums of Products of Certain Arthmetical Functions. Publications de l'Institut Mathématique, _N_S_41 (1987) no. 55, p. 31 . http://geodesic.mathdoc.fr/item/PIM_1987_N_S_41_55_a3/