Hal\'{a}sz's theorem for Beurling generalized numbers
Number Theory
2020-10-16 v3
Abstract
We show that Hal\'{a}sz's theorem holds for Beurling numbers under the following two mild hypotheses on the generalized number system: existence of a positive density for the generalized integers and a Chebyshev upper bound for the generalized primes.
Cite
@article{arxiv.1902.03870,
title = {Hal\'{a}sz's theorem for Beurling generalized numbers},
author = {Gregory Debruyne and Frederick Maes and Jasson Vindas},
journal= {arXiv preprint arXiv:1902.03870},
year = {2020}
}