English

On integers $n$ for which $\sigma(2n+1)\geq \sigma(2n)$

Number Theory 2019-04-24 v1

Abstract

We show that the natural density of positive integers nn for which σ(2n+1)σ(2n)\sigma(2n+1)\geq \sigma(2n) is between 0.0530.053 and 0.0550.055.

Keywords

Cite

@article{arxiv.1904.10064,
  title  = {On integers $n$ for which $\sigma(2n+1)\geq \sigma(2n)$},
  author = {Mits Kobayashi and Tim Trudgian},
  journal= {arXiv preprint arXiv:1904.10064},
  year   = {2019}
}