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

Wencaı LIU

doi:https://doi.org/10.3906/mat-1912-85

Article Details

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

Authors:

Wencaı LIU

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.813-824

Document Type:

Article

Publication Date:

4/2020

Document Language:

English

Document ID (Org No.):

2000745429

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1912-85

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.

Article Details

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

Authors: Wencaı LIU

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.813-824

Document Type: Article

Publication Date: 4/2020

Document Language: English

Document ID (Org No.): 2000745429

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

DOI: https://doi.org/10.3906/mat-1912-85

Issues

Authors:

Wencaı LIU

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2020 Vol.44 Issue 3, pp.813-824

Document Type:

Article

Publication Date:

4/2020

Document Language:

English

Document ID (Org No.):

2000745429

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

DOI:

https://doi.org/10.3906/mat-1912-85