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A Gauss-Kuzmin theorem for continued fractions associated with nonpositive integer powers of an integer m ≥ 2
1Mircea cel Batran Naval Academy, 1 Fulgerului, 900218 Constanta, Romania.
Thescientificworldjournal
|April 8, 2014
Abstract:
We consider a family {τ m : m ≥ 2} of interval maps which are generalizations of the Gauss transformation. For the continued fraction expansion arising from τ m , we solve a Gauss-Kuzmin-type problem.
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