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Odd-odd continued fraction algorithmopen access
- Authors
- Kim, Dong Han; Lee, Seul Bee; Liao, Lingmin
- Issue Date
- Jun-2022
- Publisher
- Springer-Verlag GmbH Austria
- Keywords
- Continued fractions; Diophantine approximation; Romik system
- Citation
- Monatshefte für Mathematik, v.198, no.2, pp 323 - 344
- Pages
- 22
- Indexed
- SCIE
SCOPUS
- Journal Title
- Monatshefte für Mathematik
- Volume
- 198
- Number
- 2
- Start Page
- 323
- End Page
- 344
- ISSN
- 0026-9255
1436-5081
- Abstract
- By using a jump transformation associated to the Romik map, we define a new continued fraction algorithm called odd-odd continued fraction, whose principal convergents are rational numbers of odd denominators and odd numerators. Among others, it is proved that all the best approximating rationals of odd denominators and odd numerators of an irrational number are given by the principal convergents of the odd-odd continued fraction algorithm and vice versa.
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Related Researcher
- Kim, Dong Han
- College of Education (Department of Mathematics Education)