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Continued fractions with bounded partial quotients
Authors:Pierre Stambul
Affiliation:Centre de Mathématiques et Informatique, DSA, Université de Provence, 39, rue Joliot Curie, F-13543 Marseille Cedex 13, France
Abstract:This paper gives the exact bound of the continued fraction expansion of $frac{atheta+b}{ctheta+d}$ when $theta$ has bounded partial quotients and $hcolon xmapstofrac{ax+b}{cx+d}$ is a Möbius transformation where all entries are integers.

Keywords:Continued fractions, bounded partial quotients, M"  obius transformation, quadratic number, transducer.
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