Format

Send to

Choose Destination
ScientificWorldJournal. 2014 Feb 23;2014:984650. doi: 10.1155/2014/984650. eCollection 2014.

A Gauss-Kuzmin theorem for continued fractions associated with nonpositive integer powers of an integer m ≥ 2.

Author information

1
Mircea cel Batran Naval Academy, 1 Fulgerului, 900218 Constanta, Romania.

Abstract

We consider a family {τ m : m ≥ 2} of interval maps which are generalizations of the Gauss transformation. For the continued fraction expansion arising from τ m , we solve a Gauss-Kuzmin-type problem.

PMID:
24707226
PMCID:
PMC3953395
DOI:
10.1155/2014/984650
[Indexed for MEDLINE]
Free PMC Article

Supplemental Content

Full text links

Icon for Hindawi Publishing Corporation Icon for PubMed Central
Loading ...
Support Center