A note on two linear forms

2013/03/25 by Nikloay Moshchevitin, Moshchevitin, Nikloay
Mathematics · #11J13 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11J13

paper · pdf · doi:10.48550/arxiv.1303.6093

6 pages

arxiv created 2013/03/25 · arxiv updated 2013/03/26

Abstract

We prove a result on approximations to a real number θ by algebraic numbers of degree ≤ 2 in the case when we have information about the uniform Diophantine exponent ω for the linear form x₀ +θx₁+θ²x₂.

Related

• Exponents of inhomogeneous Diophantine Approximation
• An optimal bound for the ratio between ordinary and uniform exponents of Diophantine approximation
• On geometry of numbers and uniform rational approximation to the Veronese curve
• On Diophantine approximations with positive integers: a remark to W.M.Schmidt's theorem
• On approximation to a real number by algebraic numbers of bounded degree