On summatory functions of additive functions and regular variation
Abstract
Description
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 $F(n) = \sum_{p^α||n}αh(p)$ are given.
12 pages
12 pages