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
收藏
页码：451 / 458
页数：8
相关论文
共 50 条
12345