On a height related to the abc conjecture

被引：0

作者：

Dubickas, A ^{[1
]}

机构：

[1] Vilnius State Univ, Dept Math & Informat, LT-2600 Vilnius, Lithuania

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2003年 / 34卷 / 06期

关键词：

the Mahler measure; heights of algebraic numbers; abc conjecture;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there are only finitely many algebraic numbers whose, certain height is bounded by an absolute constant. This answers in the affirmative a question posed by Browkin who showed that this height is related to the abc conjecture for algebraic numbers. Main tool in the proof is a result of Langevin on equidistribution of arguments of conjugates of an algebraic number having small Mahler measure.

引用

页码：853 / 857

页数：5

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