EFFECTIVE APPROXIMATION TO COMPLEX ALGEBRAIC NUMBERS BY ALGEBRAIC NUMBERS OF BOUNDED DEGREE

被引：1

作者：

Bajpai, Prajeet ^{[1
]}

Bugeaud, Yann ^{[2
,3
,4
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Univ ?e Strasbourg, IRMA, UMR 7501, Strasbourg, France

[3] CNRS, 7 rue Rene Descartes, F-67084 Strasbourg, France

[4] Inst Univ France, Paris, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 07期

关键词：

Approximation to algebraic numbers; norm-form equations;

D O I：

10.1090/tran/9190

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：5247 / 5269

页数：23

共 5 条

[1] Effective approximation to complex algebraic numbers by quadratic numbers
Bajpai, Prajeet
Bugeaud, Yann
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2025, 68 (01): : 262 - 269
[2] Fractional parts of powers of real algebraic numbers
Bugeaud, Yann
COMPTES RENDUS MATHEMATIQUE, 2022, 360 (01) : 459 - 466
[3] SOME ARITHMETICAL PROPERTIES OF CONVERGENTS TO ALGEBRAIC NUMBERS
Bugeaud, Yann
Nguyen, Khoa d.
PACIFIC JOURNAL OF MATHEMATICS, 2023, 326 (01) : 17 - 36
[4] Algebraic Numbers Close to 1 in Non-Archimedean Metrics
Yann Bugeaud
The Ramanujan Journal, 1998, 2 : 449 - 457
[5] Algebraic numbers close to 1 in non-Archimedean metrics
Bugeaud, Y
RAMANUJAN JOURNAL, 1998, 2 (04) : 449 - 457

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