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On Diophantine approximations with positive integers: a remark to W.M.Schmidt's theorem

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Type
Preprint
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arXiv ID: 0904.1906
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arXiv
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Abstract

We prove a generalization of W.M. Schmidt's theorem related to the Diophantine approximations for a linear form of the type $\alpha_1x_1+\alpha_2x_2 +y$ with {\it positive} integers $x_1,x_2$.

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