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arXiv · 0712.3681

On limit theorems for continued fractions

Zbigniew S. Szewczak
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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-Lévy-Feller-Raikov characterization of the domain of attraction of the normal law hold.

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Zbigniew S. Szewczak. 2007-12-21. On limit theorems for continued fractions. https://doi.org/10.1007/s10959-007-0139-1

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