Continued fractions with bounded partial quotients
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- Proc. Amer. Math. Soc. 128 (2000), 981-985 Request permission
Abstract:
This paper gives the exact bound of the continued fraction expansion of $\frac {a\theta +b}{c\theta +d}$ when $\theta$ has bounded partial quotients and $h\colon x\mapsto \frac {ax+b}{cx+d}$ is a Möbius transformation where all entries are integers.References
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Additional Information
- Pierre Stambul
- Affiliation: Centre de Mathématiques et Informatique, DSA, Université de Provence, 39, rue Joliot Curie, F-13543 Marseille Cedex 13, France
- Email: stambul.pierre@wanadoo.fr
- Received by editor(s): June 5, 1998
- Published electronically: August 5, 1999
- Additional Notes: The author thanks P. Liardet who pointed out this problem
- Communicated by: David E. Rohrlich
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 981-985
- MSC (1991): Primary 11A55
- DOI: https://doi.org/10.1090/S0002-9939-99-05312-5
- MathSciNet review: 1662214