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 upper and lower bounds of the continued fraction of $x$.

DOI

10.3906/mat-1912-85

Keywords

Möbius transformation, continued fraction expansion, partial quotient.

First Page

813

Last Page

824

Recommended Citation

LIU, W (2020). The Möbius transformation of continued fractions with bounded upper and lower partial quotients. Turkish Journal of Mathematics 44 (3): 813-824. https://doi.org/10.3906/mat-1912-85

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