Turkish Journal of Mathematics
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, WENCAI
(2020)
"The Möbius transformation of continued fractions with bounded upper and lower partial quotients,"
Turkish Journal of Mathematics: Vol. 44:
No.
3, Article 14.
https://doi.org/10.3906/mat-1912-85
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss3/14
