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arXiv:1510.03606 [math.NT]AbstractReferencesReviewsResources

Dependence with complete connections and the Gauss-Kuzmin theorem for N-continued fractions

Dan Lascu

Published 2015-10-13Version 1

We consider a family $\{T_N:N \geq 1 \}$ of interval maps as generalizations of the Gauss transformation. For the continued fraction expansion arising from $T_N$, we solve its Gauss-Kuzmin-type problem by applying the theory of random systems with complete connections by Iosifescu.

Comments: 19 pages
Categories: math.NT
Subjects: 11J70, 11K50
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