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Simultaneous Asymptotic Diophantine Approximations to a Basis of a Real Number Field

Published online by Cambridge University Press:  22 January 2016

William W. Adams
William W. Adams*
Affiliation:
Department of Mathematics, University of Maryland
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The purpose of this paper is to prove the following result.

Theorem 1. Let K be a real algebraic number field of degree m = n + 1. Let 1, β1, …, βn be a basis of K.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 42 , March 1971 , pp. 79 - 87
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1971

References

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[4] Peck, L.G.. Simultaneous Rational Approximations to Algebraic Numbers. Bull. AMS 67 (1961) 197–201.Google Scholar
[5] Schmidt, W.M.. Simultaneous Approximations to a Basis of a Real Algebraic Number Field. Am. J. of Mathematics 88 (1966) 517–527.Google Scholar