Geodesic
On Summatory Functions of Additive Functions and Regular Variation
Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 27 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

An overview of results and problems concerning the asymptotic behaviour for summatory functions of a certain class of additive functions is given. The class of functions in question involves regular variation. Some new Abelian and Tauberian results for additive functions of the form $F(n)=\sum\limits_{p^\alpha||n}\alpha h(p)$ are obtained.
DOI : 10.2298/PIM0271027I
Classification : 11N37 26A12
Keywords: Regularly and slowly varying functions, arithmetic sums, additive functions, Abelian and Tauberian theorems 
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     title = {On {Summatory} {Functions} of {Additive} {Functions} and {Regular} {Variation}},
     journal = {Publications de l'Institut Math\'ematique},
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Aleksandar Ivić. On Summatory Functions of Additive Functions and Regular Variation. Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 27 . doi : 10.2298/PIM0271027I. http://geodesic.mathdoc.fr/articles/10.2298/PIM0271027I/

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