English

A note on quadratic approximation for Liouville numbers

Number Theory 2018-08-28 v1

Abstract

Schleischitz [arXiv:1701.01129] determined exponents of best approximations to a strong Liouville number by integer polynomials and algebraic numbers of precribed degree. In this note, we show that we cannot extend his result to arbitrary Liouville numbers.

Cite

@article{arxiv.1808.08835,
  title  = {A note on quadratic approximation for Liouville numbers},
  author = {Tomohiro Ooto},
  journal= {arXiv preprint arXiv:1808.08835},
  year   = {2018}
}

Comments

5 pages

R2 v1 2026-06-23T03:44:48.800Z