Effective approximation to complex algebraic numbers by quadratic numbers
Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 262-269
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We establish an effective improvement on the Liouville inequality for approximation to complex nonreal algebraic numbers by quadratic complex algebraic numbers.
Mots-clés :
Approximation to algebraic numbers, linear forms in logarithms
Bajpai, Prajeet; Bugeaud, Yann. Effective approximation to complex algebraic numbers by quadratic numbers. Canadian mathematical bulletin, Tome 68 (2025) no. 1, pp. 262-269. doi: 10.4153/S0008439524000857
@article{10_4153_S0008439524000857,
author = {Bajpai, Prajeet and Bugeaud, Yann},
title = {Effective approximation to complex algebraic numbers by quadratic numbers},
journal = {Canadian mathematical bulletin},
pages = {262--269},
year = {2025},
volume = {68},
number = {1},
doi = {10.4153/S0008439524000857},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000857/}
}
TY - JOUR AU - Bajpai, Prajeet AU - Bugeaud, Yann TI - Effective approximation to complex algebraic numbers by quadratic numbers JO - Canadian mathematical bulletin PY - 2025 SP - 262 EP - 269 VL - 68 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000857/ DO - 10.4153/S0008439524000857 ID - 10_4153_S0008439524000857 ER -
%0 Journal Article %A Bajpai, Prajeet %A Bugeaud, Yann %T Effective approximation to complex algebraic numbers by quadratic numbers %J Canadian mathematical bulletin %D 2025 %P 262-269 %V 68 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000857/ %R 10.4153/S0008439524000857 %F 10_4153_S0008439524000857
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