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A note on a result of Mahler's

Published online by Cambridge University Press:  09 April 2009

Indar S. Luthar
Affiliation:
University of IllinoisUrbana, Illinois
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Extract

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In a recent paper, Maher [2] proved that for any algebraic number field K of degree n and discriminant d there exists a constant C depending only on n and d such that for any ceiling λP of K there exists a basis α1 …, αn of the corresponding ideal αλ such that .

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Mahler, K.. Acta Mathematica 68 (1937). 109144.CrossRefGoogle Scholar
[2]Mailer, K., J. Austr. Math. Soc. 4 (1964), 425448.CrossRefGoogle Scholar
[3]Weyl, H., Proc. London Math. Soc. 47 (1942), 268289.CrossRefGoogle Scholar