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

Abstract

We prove a generalization of W.M. Schmidt's theorem related to the Diophantine approximations for a linear form of the type ${\alpha }_1{x}_1+{\alpha }_2{x}_2+y$ with {\it positive} integers $x_1,x_2$.

arXiv commentcorrection of typos

Cited by in corpus (2)

• On some open problems in Diophantine approximation
• Diophantine approximations with positive integers: some remarks