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Metrical properties for a class of continued fractions with increasing digits
- Source :
-
Journal of Number Theory . Jun2008, Vol. 128 Issue 6, p1506-1515. 10p. - Publication Year :
- 2008
-
Abstract
- Abstract: In 2002, Hartono, Kraaikamp and Schweiger introduced the Engel continued fractions (ECF), whose partial quotients are increasing. Later, Schweiger generalized it into a class of continued fractions with increasing digits and a parameter ϵ, called generalized continued fractions (GCF). In this paper, we will give some arithmetic properties of such an expansion, and show that the GCF holds similar metric properties with ECF under the condition that . But when it comes to the condition that , it does not. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*SCIENCE
*MATHEMATICAL ability
*MATHEMATICAL programming
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 128
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 32048909
- Full Text :
- https://doi.org/10.1016/j.jnt.2007.03.014