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

Authors : Wencaı Liu

Pages : 813-824

Doi:10.3906/mat-1912-85

View : 8 | Download : 4

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Let h: x 7→ 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.
Keywords : Möbius transformation, continued fraction expansion, partial quotient.