English

On the distribution of lcm of k-tuples and related problems

Number Theory 2022-08-04 v4

Abstract

We study the distribution of the least common multiple of positive integers in N\cap [1, x] and related problems. We refine some results of Hilberdink and T\'{o}th (2016). We also give a partial result toward a conjecture of Hilberdink, Luca, and T\'{o}th (2020).

Keywords

Cite

@article{arxiv.2102.05480,
  title  = {On the distribution of lcm of k-tuples and related problems},
  author = {Sungjin Kim},
  journal= {arXiv preprint arXiv:2102.05480},
  year   = {2022}
}

Comments

18 pages, the previous version had an error on page 6. Now it is fixed