On limit theorems for continued fractions
Probability
2009-01-19 v1
Abstract
It is shown that for sums of functionals of digits in continued fraction expansion the Kolmogorov-Feller weak laws of large numbers and the Khinchine-L\'evy-Feller-Raikov characterization of the domain of attraction of the normal law hold.
Cite
@article{arxiv.0712.3681,
title = {On limit theorems for continued fractions},
author = {Zbigniew S. Szewczak},
journal= {arXiv preprint arXiv:0712.3681},
year = {2009}
}
Comments
16 pages