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Nous montrons que la dimension de Hausdorff de l'ensemble des systemes mal approchables de m formes lineaires en n variables sur le corps des series de Laurent a coefficients dans un corps fini est maximale. Ce resultat est un analogue de la generalisation multidimensionnelle de Schmidt du theoreme de Jarnik sur les nombres mal approchables.

Badly approximable systems of linear forms over a field of formal series