English

Linear Recurrences of Order at Most Two in Small Divisors

Number Theory 2021-08-31 v1

Abstract

Given a positive integer nn, the small divisors of nn are defined as the positive divisors that do not exceed n.\sqrt{n}. Ianucci previously classified all nn for which the small divisors of nn form an arithmetic progression. In this paper, we classify all nn for which the small divisors of nn form a linear recurrence of order at most two.

Keywords

Cite

@article{arxiv.2108.13173,
  title  = {Linear Recurrences of Order at Most Two in Small Divisors},
  author = {A. Anas Chentouf},
  journal= {arXiv preprint arXiv:2108.13173},
  year   = {2021}
}