A Gauss-Kuzmin theorem for continued fractions associated with nonpositive integer powers of an integer m ≥ 2.
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.
Mircea cel Batran Naval Academy, 1 Fulgerului, 900218 Constanta, Romania.
Dan
0000-0002-9096-7287
D
Lascu
D000465:Algorithms; D008962:Models, Theoretical