English

Effective approximation to complex algebraic numbers by quadratic numbers

Number Theory 2025-02-19 v1

Abstract

We establish an effective improvement on the Liouville inequality for approximation to complex non-real algebraic numbers by quadratic complex algebraic numbers.

Keywords

Cite

@article{arxiv.2411.09570,
  title  = {Effective approximation to complex algebraic numbers by quadratic numbers},
  author = {Prajeet Bajpai and Yann Bugeaud},
  journal= {arXiv preprint arXiv:2411.09570},
  year   = {2025}
}

Comments

To appear in the Canadian Mathematical Bulletin

R2 v1 2026-06-28T20:00:04.166Z