English

On some properties of $\sigma(N)$

Number Theory 2007-07-30 v1

Abstract

We show asymptotic upper and lower bounds for the greatest common divisor of N and σ(N)\sigma(N). We also show that there are infinitely many integers N with fairly large g.c.d. of N and σ(N)\sigma(N).

Keywords

Cite

@article{arxiv.0707.4090,
  title  = {On some properties of $\sigma(N)$},
  author = {Tomohiro Yamada},
  journal= {arXiv preprint arXiv:0707.4090},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-06-21T09:02:24.054Z