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arXiv · 1609.08233

The Möbius transformation of continued fractions with bounded upper and lower partial quotients

Wencai Liu
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Abstract

Let $h$: $x\mapsto \frac{ax+b}{cx+d} $ be the nondegenerate Möbius transformation with integer entries. We get a bound of the continued fraction of $h(x)$ by the upper and lower bound of continued fraction of $x$, which extends a result of Stambul \cite{S2}.

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Wencai Liu. 2016-09-27. The Möbius transformation of continued fractions with bounded upper and lower partial quotients. https://doi.org/10.3906/mat-1912-85

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