A Gauss-Kuzmin theorem for continued fractions associated with non-positive interger powers of an integer $m \geq 2$

Dan Lascu

doi:10.1155/2014/984650

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arXiv · 1309.4588

A Gauss-Kuzmin theorem for continued fractions associated with non-positive interger powers of an integer $m \geq 2$

Dan Lascu

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Abstract

We consider a family $\{τ_m:m\geq 2\}$ of interval maps introduced by Hei-Chi Chan [5] as generalizations of the Gauss transformation. For the continued fraction expansion arising from $τ_m$, we solve its Gauss-Kuzmin-type problem by applying the method of Rockett and Szüsz [18].

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BibTeX RIS

Dan Lascu. 2013-09-18. A Gauss-Kuzmin theorem for continued fractions associated with non-positive interger powers of an integer $m \geq 2$. https://doi.org/10.1155/2014%2F984650

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