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Effective approximation to complex algebraic numbers by quadratic numbers

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  08 January 2025

Prajeet Bajpai  and
Yann Bugeaud Open the ORCID record for Yann Bugeaud [Opens in a new window]
Prajeet Bajpai
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, B.C., V6T 1Z2 Canada e-mail: pbajpai@cs.ubc.ca
Yann Bugeaud*
Affiliation:
I.R.M.A., UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, 67084 Strasbourg, France Institut universitaire de France
*
e-mail: bugeaud@math.unistra.fr
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Abstract

We establish an effective improvement on the Liouville inequality for approximation to complex nonreal algebraic numbers by quadratic complex algebraic numbers.

Keywords

Approximation to algebraic numberslinear forms in logarithms

MSC classification

Primary: 11J68: Approximation to algebraic numbers
Secondary: 11J86: Linear forms in logarithms; Baker's method

Information

Type
Article
Information
Canadian Mathematical Bulletin , Volume 68 , Issue 1 , March 2025 , pp. 262 - 269
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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References

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