Arithmetic and metric properties of Oppenheim continued fraction expansions

被引：17
作者：
Fan, Ai-Hua [1 ]
Wang, Bao-Wei
Wu, Jun
机构：
[1] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China
[2] Univ Picardie, CNRS, UMR 6140, LAMFA, F-80039 Amiens, France
[3] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2007年 / 127卷 / 01期
关键词：
Oppenheim series expansion; Oppenheim continued fraction expansion; metric property;
D O I：
10.1016/j.jnt.2006.12.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a class of continued fraction expansions called Oppenheim continued fraction (OCF) expansions. Basic properties of these expansions are discussed and metric properties of the digits occurring in the OCF expansions are studied. (C) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：64 / 82
页数：19
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