Abstract
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 ξ̲ = (ξ1,…,ξn) such that 1, ξ1,…,ξn is a rational bass of a real algebraic number field of degree n+1.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. On Simultaneous Diophantine Approximation in the Vector Space Q+Qα;Journal of Number Theory;2000-05
2. Formulas for some diophantine approximation constants;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1988-06