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

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

2009-04-13

arxiv.org/abs/0904.1906v2

Mathematics

Number Theory

correction of typos

Scientific paper

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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