English

A note on exact approximations

Number Theory 2026-03-30 v3

Abstract

Based on M. Hall's theorem we prove a simple result dealing with real numbers which admit exact approximations by rationals.

Keywords

Cite

@article{arxiv.2601.10051,
  title  = {A note on exact approximations},
  author = {Dmitry Gayfulin and Sergei Pitcyn},
  journal= {arXiv preprint arXiv:2601.10051},
  year   = {2026}
}

Comments

8 pages, more precise results and exposition

R2 v1 2026-07-01T09:05:16.163Z