Minimal Mahler Measures

被引：20

作者：

Mossinghoff, Michael J. ^{[1
]}

Rhin, Georges ^{[2
]}

Wu, Qiang ^{[3
]}

机构：

[1] Davidson Coll, Dept Math, Davidson, NC 28035 USA

[2] Univ Metz, UFR MIM, Dept Math, CNRS,UMR 7122, F-57045 Metz 01, France

[3] SW Univ China, Dept Math, Chongqing 400715, Peoples R China

来源：

EXPERIMENTAL MATHEMATICS | 2008年 / 17卷 / 04期

关键词：

Mahler measure; Lehmer's question; Chebyshev polynomial; auxiliary function;

D O I：

10.1080/10586458.2008.10128872

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine the minimal Mahler measure of a primitive irreducible noncyclotomic polynomial with integer coefficients and fixed degree D, for each even degree D <= 54. We also compute all primitive irreducible noncyclotomic polynomials with measure less than 1.3 and degree at most 44.

引用

页码：451 / 458

页数：8

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