Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree
Number Theory
2024-11-18 v2
Abstract
We establish the first effective improvements on the Liouville inequality for approximation to complex non-real algebraic numbers by complex algebraic numbers of degree at most 4.
Keywords
Cite
@article{arxiv.2302.05445,
title = {Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree},
author = {Prajeet Bajpai and Yann Bugeaud},
journal= {arXiv preprint arXiv:2302.05445},
year = {2024}
}
Comments
Updated with corrections, in particular to the statement and proof of Thm 2.4. Presentation of proofs is also considerably improved following referee feedback. Final version, appears in Trans. AMS