On summatory functions of additive functions and regular variation
Aleksandar Ivić
Abstract
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 Karamata's regular variation. Some new Abelian and Tauberian results for additive functions of the form F(n) = Σpα||nαh(p) are given.
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