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arXiv · 1401.0992

Badly approximable vectors, $C^{1}$ curves and number fields

Manfred Einsiedler·Anish Ghosh·Beverly Lytle
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Abstract

We show that points on $C^{1}$ curves which are badly approximable by rationals in a number field form a winning set in the sense of W. M. Schmidt. As a consequence, we obtain a number field version of Schmidt's conjecture.

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Manfred Einsiedler, Anish Ghosh, Beverly Lytle. 2014-01-06. Badly approximable vectors, $C^{1}$ curves and number fields. https://doi.org/10.1017/etds.2014.146

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