The Mbius transformation of continued fractions with bounded upper and lower partial quotients Institutional Repository Document uri icon


  • Let $h$: $xmapsto frac{ax+b}{cx+d} $ be the nondegenerate M"{o}bius 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}.

author list (cited authors)

  • Liu, W.

complete list of authors

  • Liu, Wencai

publication date

  • September 2016