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math.NT2008
Theorem on best Diophantine approximations for linear forms
Oleg N. German, Nikolay G. Moshchevitin
We prove a new quantitative result on the degeneracy of the dimension of the subspace spanned by the best Diophantine approximations for a linear form.
math.NT2008
Linear forms of a given Diophantine type
Oleg N. German, Nikolay G. Moshchevitin
We prove a result on the existence of linear forms of a given Diophantine type.