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Badly approximable vectors, $C^{1}$ curves and number fields
Published online by Cambridge University Press: 11 February 2015
Abstract
We show that the set of points on $C^{1}$ curves which are badly approximable by rationals in a number field form a winning set in the sense of Schmidt. As a consequence, we obtain a number field version of Schmidt’s conjecture in Diophantine approximation.
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- © Cambridge University Press, 2015
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