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
收藏
页码：853 / 857
页数：5
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