Abstract
We establish arithmetical properties and provide essential bounds for bi-sequences of approximation coefficients associated with the natural extension of maps, leading to continued fraction-like expansions. These maps are realized as the fractional part of Möbius transformations which carry the end points of the unit interval to zero and infinity, extending the classical regular and backwards continued fraction expansions.
Original language | English |
---|---|
Pages (from-to) | 1-23 |
Number of pages | 23 |
Journal | Acta Arithmetica |
Volume | 164 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2014 |
Externally published | Yes |
Keywords
- Continued fractions
- Diophantine approximation
ASJC Scopus subject areas
- Algebra and Number Theory