2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69268An 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 pagesNumber TheoryClassical Analysis and ODEs11N37; 26A12text