On the concentration of certain additive functions

@article{DimitrisKoukoulopoulos2014,
abstract = {We study the concentration of the distribution of an additive function f when the sequence of prime values of f decays fast and has good spacing properties. In particular, we prove a conjecture by Erdős and Kátai on the concentration of $f(n) = ∑_\{p|n\}(log p)^\{-c\}$ when c > 1.},
author = {Dimitris Koukoulopoulos},
journal = {Acta Arithmetica},
keywords = {additive functions; Erdős-Wintner theorem; concentration of distribution},
language = {eng},
number = {3},
pages = {223-241},
title = {On the concentration of certain additive functions},
url = {http://eudml.org/doc/279079},
volume = {162},
year = {2014},
}

TY - JOUR
AU - Dimitris Koukoulopoulos
TI - On the concentration of certain additive functions
JO - Acta Arithmetica
PY - 2014
VL - 162
IS - 3
SP - 223
EP - 241
AB - We study the concentration of the distribution of an additive function f when the sequence of prime values of f decays fast and has good spacing properties. In particular, we prove a conjecture by Erdős and Kátai on the concentration of $f(n) = ∑_{p|n}(log p)^{-c}$ when c > 1.
LA - eng
KW - additive functions; Erdős-Wintner theorem; concentration of distribution
UR - http://eudml.org/doc/279079
ER -