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A note on simultaneous approximation

Published online by Cambridge University Press:  17 April 2009

J. M. Mack
J. M. Mack
Affiliation:
University of Sydney, Sydney, New South Wales.
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Abstract

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We observe that good simultaneous rational approximations to given rationally dependent real numbers must satisfy the same rational dependence relationships as do the given numbers.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 1 , August 1970 , pp. 81 - 83
Copyright
Copyright © Australian Mathematical Society 1970

References

[1] Bachmann, Paul, Die Arithmetik def quadratischen Formen. Zweite Abteilung (Teubner, Leipzig, Berlin, 1923).Google Scholar
[2] Perron, Oskar, “Grundlagen für eine Theorie des Jacobischen Kettenbruchalgorithmus”, Math. Ann. 64 (1907), 1–76.CrossRefGoogle Scholar