paper

Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree

arXiv:2302.05445

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.

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

Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree · wovepaper