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Some metric properties on the GCF fraction expansion

Authors :
Shen, Luming
Zhou, Yuyuan
Source :
Journal of Number Theory. Jan2010, Vol. 130 Issue 1, p1-9. 9p.
Publication Year :
2010

Abstract

Abstract: In Schweiger (2003) , Fritz Schweiger introduced the algorithm of the generalized continued fraction (GCF), and in Zhong (2008) , T. Zhong studied some basic metric properties of the GCF. In this paper, under the restriction of , the “0–1” law and the central limit theorem of quotients in the GCF expansions are studied. [Copyright &y& Elsevier]

Subjects

Subjects :
*METRIC spaces
*CONTINUUM hypothesis
*ALGORITHMS
*CENTRAL limit theorem
*OPERATOR product expansions
*MATHEMATICS

Details

Language :
English
ISSN :
0022314X
Volume :
130
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
44716218
Full Text :
https://doi.org/10.1016/j.jnt.2009.06.011
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