Effective Erd\H os--Wintner theorems
Number Theory
2020-12-15 v3
Abstract
The classical theorem of Erd\H os \& Wintner furnishes a criterion for the existence of a limiting distribution for a real, additive arithmetical function. This work is devoted to providing an effective estimate for the remainder term under the assumption that the conditions in the criterion are fulfilled. We also investigate the case of a conditional distribution.
Cite
@article{arxiv.2002.07475,
title = {Effective Erd\H os--Wintner theorems},
author = {Gérald Tenenbaum and Johann Verwee},
journal= {arXiv preprint arXiv:2002.07475},
year = {2020}
}