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arXiv:0712.3681 [math.PR]AbstractReferencesReviewsResources

On limit theorems for continued fractions

Zbigniew S. Szewczak

Published 2007-12-21Version 1

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.

Comments: 16 pages
Journal: J. Theor. Probab. 22 (2009), pp. 239--255
Categories: math.PR
Subjects: 60F05, 60F10, 11K50
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