On summatory functions of additive functions and regular variation
Number Theory
2007-05-23 v1 Classical Analysis and ODEs
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 are given.
Cite
@article{arxiv.math/0311345,
title = {On summatory functions of additive functions and regular variation},
author = {Aleksandar Ivić},
journal= {arXiv preprint arXiv:math/0311345},
year = {2007}
}
Comments
12 pages