On the maximal conjugate of a totally real algebraic integer

被引：0

作者：

Dubickas A. ^{[1
]}

机构：

[1] Vilnius University, 2006 Vilnius

来源：

Lithuanian Mathematical Journal | 1997年 / 37卷 / 1期

关键词：

Unit Circle; Algebraic Number; Minimal Polynomial; Real Interval; Algebraic Integer;

D O I：

10.1007/BF02465435

中图分类号：

学科分类号：

摘要：

Let α be an algebraic integer of degree d whose d conjugates are all real. We give a lower bound for the absolute value of conjugates of α in terms of d and of the number of conjugates outside the interval [-2: 2]. Combining this with a lower bound for Mahler's measure of a polynomial, we obtain a lower bound for the maximal conjugate of a totally real algebraic integer. © 1997 Plenum Publishing Corporation.

引用

页码：13 / 19

页数：6

共 8 条

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