Certain diophantine properties of the Mahler measure

被引：2
|
作者：
Dubickas, A [1 ]
机构：
[1] Vilnius State Univ, Vilnius, Lithuania
来源：
MATHEMATICAL NOTES | 2002年 / 72卷 / 5-6期
关键词：
algebraic number; Mahler measure; algebraic unit; algebraic integer;
D O I：
10.1023/A:1021481611362
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that a polynomial in several Mahler measures with positive rational coefficients is equal to an integer if and only if all these Mahler measures are integers. An estimate for the distance between a metric Mahler measure and an integer is obtained. Finally, it is proved that the ratio of two distinct Mahler measures of algebraic units is irrational.
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页码：763 / 767
页数：5
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