Effective approximation to complex algebraic numbers by algebraic numbers of bounded degree

Bajpai, Prajeet; Bugeaud, Yann

doi:10.1090/tran/9190

Effective approximation to complex algebraic numbers by algebraic numbers of bounded degree
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by Prajeet Bajpai and Yann Bugeaud;

Trans. Amer. Math. Soc. 377 (2024), 5247-5269

DOI: https://doi.org/10.1090/tran/9190

Published electronically: May 21, 2024

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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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