Counting algebraic numbers with large height II

被引：47

作者：

Masser, David

Vaaler, Jeffrey D.

机构：

[1] Univ Basel, Inst Math, CH-4051 Basel, Switzerland

[2] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 359卷 / 01期

关键词：

Mahler measure; height;

D O I：

10.1090/S0002-9947-06-04115-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We count algebraic numbers of fixed degree over a fixed algebraic number field. When the heights of the algebraic numbers are bounded above by a large parameter H, we obtain asymptotic estimates for their cardinality as H -> infinity.

引用

页码：427 / 445

页数：19

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