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On a conjecture of Littlewood in Diophantine approximations

Published online by Cambridge University Press:  17 April 2009

S. Krass
S. Krass
Affiliation:
School of Mathematics, Univeristy of New South Wales, Kensington, N.S.W. 2033.
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Abstract

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A conjecture of Littlewood States that for arbitrary , and any ε > 0 there exist m0 ≠ 0, m1,…,mn so that . In this paper we show this conjecture holds for all = (ξ1,…,ξn) such that 1, ξ1,…,ξn is a rational bass of a real algebraic number field of degree n+1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 32 , Issue 3 , December 1985 , pp. 379 - 387
Copyright
Copyright © Australian Mathematical Society 1985

References

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