Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-13T08:03:45.675Z Has data issue: false hasContentIssue false
  • English
  • Français

Continuants with bounded digits—II

Published online by Cambridge University Press:  26 February 2010

T. W. Cusick
T. W. Cusick
Affiliation:
State University of New York at Buffalo.
Get access

Extract

This paper is a sequel to [1], but can be read independently. However, we do quote one of the results of [1] in the proof of our theorem here.

As in [1], we define the continuantK(a1, a2, …, an) formed from the positive integers a1 …,an to be the denominator qn of the continued fraction

where pn/qn is in lowest terms.

Type
Research Article
Information
Mathematika , Volume 25 , Issue 1 , June 1978 , pp. 107 - 109
Copyright
Copyright © University College London 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Cusick, T. W.. “Continuants with bounded digits”, Mathematika, 24 (1977), 166–172.CrossRefGoogle Scholar
2.Good, I. J.. “The fractional dimension theory of continued fractions”, Proc. Cambridge Phil. Soc, 37 (1941), 199–228.CrossRefGoogle Scholar