English

The distribution of rational numbers on Cantor's middle thirds set

Number Theory 2019-09-04 v1

Abstract

We give a heuristic for the number of reduced rationals on Cantor's middle thirds set, with a fixed bound on the denominator. We also describe extensive numerical computations supporting this heuristic.

Keywords

Cite

@article{arxiv.1909.01198,
  title  = {The distribution of rational numbers on Cantor's middle thirds set},
  author = {Alexander Rahm and Noam Solomon and Tara Trauthwein and Barak Weiss},
  journal= {arXiv preprint arXiv:1909.01198},
  year   = {2019}
}