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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.
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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

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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