2023arXiv (Cornell University)Open access

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

Prajeet Bajpai, Yann Bugeaud

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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.

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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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Available 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.

Key concepts: Degree (music), Algebraic number, Real algebraic geometry, Bounded function, Mathematics, Algebraic extension, Algebraic surface, Algebraic cycle

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