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Kristensen, Simon (2003)
Languages: English
Types: Preprint
Subjects: 11J13, Mathematics - Number Theory, 11J83
We prove that the Hausdorff dimension of the set of badly approximable systems of m linear forms in n variables over the field of Laurent series with coefficients from a finite field is maximal. This is a analogue of Schmidt's multi-dimensional generalisation of Jarnik's Theorem on badly approximable numbers.

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