On the Metrical Theory of a Generalized Continued Fraction Expansion
Number Theory
2010-11-24 v2
Abstract
We introduced a new continued fraction expansions in our previous paper. For these expansions, we show formulae of probability about incomplete quotients. Furthermore, we prove the existence of invariant measures with respect to the continued fraction transformations associated with expansions.
Keywords
Cite
@article{arxiv.1010.4863,
title = {On the Metrical Theory of a Generalized Continued Fraction Expansion},
author = {Dan Lascu and Katsunori Kawamura},
journal= {arXiv preprint arXiv:1010.4863},
year = {2010}
}
Comments
This paper has been withdrawn by the authors. 12 pages