On the concentration of certain additive functions
Number Theory
2017-06-12 v4
Abstract
We study the concentration of the distribution of an additive function, when the sequence of prime values of decays fast and has good spacing properties. In particular, we prove a conjecture by Erdos and Katai on the concentration of when .
Cite
@article{arxiv.1111.1040,
title = {On the concentration of certain additive functions},
author = {Dimitris Koukoulopoulos},
journal= {arXiv preprint arXiv:1111.1040},
year = {2017}
}
Comments
17 pages. Final version. To appear in Acta Arith