The mean number of divisors for rough, dense and practical numbers
Number Theory
2023-06-28 v2
Abstract
We give asymptotic estimates for the mean number of divisors of integers without small prime factors, integers with bounded ratios of consecutive divisors, and for practical numbers. In the last case, this confirms a conjecture of Margenstern.
Cite
@article{arxiv.2104.07137,
title = {The mean number of divisors for rough, dense and practical numbers},
author = {Andreas Weingartner},
journal= {arXiv preprint arXiv:2104.07137},
year = {2023}
}
Comments
18 pages, 2 figures