Effective Approximation to Complex Algebraic Numbers by Algebraic Numbers of Bounded Degree
Prajeet Bajpai, Yann Bugeaud
Abstract
Open-access reader
Prajeet Bajpai, Yann Bugeaud
Abstract
Open-access reader
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.
Key concepts: Degree (music), Algebraic number, Real algebraic geometry, Bounded function, Mathematics, Algebraic extension, Algebraic surface, Algebraic cycle