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Bounds for solutions of systems of linear equations

Published online by Cambridge University Press:  17 April 2009

Jeffrey D. Vaaler  and
A.J. van der Poorten
Jeffrey D. Vaaler
Affiliation:
Department of Mathematics, University of Texas, Austin, Texas 78712, USA
A.J. van der Poorten
Affiliation:
School of Mathematics and Physics, Macquarie University, North Ryde, New South Wales 2113, Australia.
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Abstract

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We apply recent results of Vaaler that simultaneously bound linear forms so as to obtain a ‘Siegel lemma’, sharper than those that have appeared in the literature, and in a shape convenient for application in transcendence theory.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1982 , pp. 125 - 132
Copyright
Copyright © Australian Mathematical Society 1982

References

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