Turkish Journal of Mathematics
Article Title
The Möbius transformation of continued fractions with bounded upper and lower partial quotients
DOI
10.3906/mat-1912-85
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 $x$.
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