Arithmetic and metric properties of Oppenheim continued fraction expansions

✍ Scribed by Ai-Hua Fan; Bao-Wei Wang; Jun Wu

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 190 KB
• Volume: 127
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2006.12.016

✦ Synopsis

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.