epsilon-Pisot numbers in any real algebraic number field are relatively dense
文献类型：期刊论文
| 作者 | Fan, AH; Schmeling, J |
| 刊名 | JOURNAL OF ALGEBRA
 |
| 出版日期 | 2004-02-15 |
| 卷号 | 272期号:2页码:470-475 |
| 关键词 | real algebraic number fields PV-numbers Salem numbers |
| 英文摘要 | An algebraic integer is called an epsilon-Pisot number (epsilon > 0) if its Galois conjugates have absolute value less then epsilon. Let K be any real algebraic number field. We prove that the subset of K consisting of epsilon-Pisot numbers which have the same degree as that of the field is relatively dense in the real line R. This has some applications to non-stationary products of random matrices involving Salem numbers. (C) 2004 Elsevier Inc. All rights reserved. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000188369100005 |
| 公开日期 | 2015-07-28 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/4415]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China 2.Chinese Acad Sci, WIPM, Wuhan 430071, Peoples R China 3.Univ Picardie, CNRS, LAMFA, UMR 6140, F-80039 Amiens, France 4.Lund Univ, Dept Math, LTH, SE-22100 Lund, Sweden |
| 推荐引用方式 GB/T 7714 | Fan, AH,Schmeling, J. epsilon-Pisot numbers in any real algebraic number field are relatively dense[J]. JOURNAL OF ALGEBRA,2004,272(2):470-475. |
| APA | Fan, AH,&Schmeling, J.(2004).epsilon-Pisot numbers in any real algebraic number field are relatively dense.JOURNAL OF ALGEBRA,272(2),470-475. |
| MLA | Fan, AH,et al."epsilon-Pisot numbers in any real algebraic number field are relatively dense".JOURNAL OF ALGEBRA 272.2(2004):470-475. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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