Geodesic
On Summatory Functions of Additive Functions and Regular Variation
Publications de l'Institut Mathématique, _N_S_71 (2002) no. 85, p. 27
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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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     author = {Aleksandar Ivi\'c},
     title = {On {Summatory} {Functions} of {Additive} {Functions} and {Regular} {Variation}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {27 },
     year = {2002},
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     number = {85},
     doi = {10.2298/PIM0271027I},
     zbl = {1067.11058},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0271027I/}
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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

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