Hausdorff dimension of singular vectors in function fields
Abstract
We compute the Hausdorff dimension of the set of singular vectors in function fields and bound the Hausdorff dimension of the set of -Dirichlet improvable vectors in this setting. This is a function field analogue of the results of Cheung and Chevallier [Duke Math. J. 165 (2016), 2273--2329].
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