On general sums involving the floor function with applications to $k$-free numbers
Number Theory
2023-10-03 v2
Abstract
In this paper, we consider sums related the floor function. We can improve some previous results for some special arithmetic functions considered by Bordell\'es [3], Stucky[9] and Liu-Wu-Yang [6]. We can also give a refined result for previous results for general function considered by Bordell\'es, Dai, Heyman, Pan and Shparlinski [1] and Wu [11].
Cite
@article{arxiv.2112.06156,
title = {On general sums involving the floor function with applications to $k$-free numbers},
author = {Wei Zhang},
journal= {arXiv preprint arXiv:2112.06156},
year = {2023}
}
Comments
Accepted by Lith. Math. J