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A NOTE ON BADLY APPROXIMABLE LINEAR FORMS
Published online by Cambridge University Press: 04 February 2011
Abstract
In this paper we investigate the analogue of the classical badly approximable setup in which the distance to the nearest integer ‖⋅‖ is replaced by the sup norm |⋅|. In the case of one linear form we prove that the hybrid badly approximable set is of full Hausdorff dimension.
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
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