English

Modeling rational numbers by Cantor series

Number Theory 2021-01-05 v2

Abstract

In the present article, modeling certain rational numbers, that are represented in terms of Cantor series, are described. The statements on relations between digits in the representations of rational numbers by Cantor series (for the case of an arbitrary sequence (qk)(q_k)) are proved.

Keywords

Cite

@article{arxiv.1904.07264,
  title  = {Modeling rational numbers by Cantor series},
  author = {Symon Serbenyuk},
  journal= {arXiv preprint arXiv:1904.07264},
  year   = {2021}
}

Comments

8 pages

R2 v1 2026-06-23T08:40:18.876Z