Badly approximable vectors, C1 curves and number fields

Einsiedler, Manfred ; Ghosh, Anish ; Lytle, Beverly (2016) Badly approximable vectors, C1 curves and number fields Ergodic Theory & Dynamical Systems, 36 (06). pp. 1851-1864. ISSN 0143-3857

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Official URL: https://www.cambridge.org/core/journals/ergodic-th...

Related URL: http://dx.doi.org/10.1017/etds.2014.146

Abstract

We show that the set of points on C1 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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ID Code:114616
Deposited On:05 Jun 2018 07:01
Last Modified:05 Jun 2018 07:01

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