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

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

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.

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Veröffentlicht in:arXiv.org 2024-11
Hauptverfasser: Bajpai, Prajeet, Bugeaud, Yann
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Approximation
Mathematical analysis
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Zusammenfassung: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.
ISSN:2331-8422