Mathematics – Number Theory
Scientific paper
2003-11-20
Publications Institut Math. (Belgrade) 71(85), 2002, 27-39
Mathematics
Number Theory
12 pages
Scientific paper
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 $F(n) =
\sum_{p^\alpha||n}\alpha h(p)$ are given.
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