Abstract
In a recent paper I generalized Roth's well-known theorem on rational approximation to an algebraic number α in two dual directions. Namely, I proved a theorem on simultaneous rational approximation to m algebraic numbers α 1,…, α m , and a theorem on linear forms L( x) = α 1 x 1 + … + α m x m + x m+1 . In the present paper I shall carry the argument further and I shall prove similar results for systems of linear forms.
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