An explicit result for short sums of positive arithmetic functions
Number Theory
2025-01-07 v3
Abstract
We prove a totally explicit bound for short sums of certain non-negative arithmetic functions satisfying a general growth condition, and apply this result to derive two explicit estimates for the Erd\H{o}s-Hooley -function in short intervals.
Cite
@article{arxiv.2402.12333,
title = {An explicit result for short sums of positive arithmetic functions},
author = {Olivier Bordellès},
journal= {arXiv preprint arXiv:2402.12333},
year = {2025}
}
Comments
23 pages; comments are welcome