A note on two linear forms

Nikolay Moshchevitin

Acta Arithmetica (2014)

  • Volume: 162, Issue: 1, page 43-50
  • ISSN: 0065-1036

Abstract

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

How to cite

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Nikolay Moshchevitin. "A note on two linear forms." Acta Arithmetica 162.1 (2014): 43-50. <http://eudml.org/doc/279255>.

@article{NikolayMoshchevitin2014,
abstract = {We prove a result on approximations to a real number θ by algebraic numbers of degree ≤ 2 in the case when we have certain information about the uniform Diophantine exponent ω̂ for the linear form x₀ + θx₁ + θ²x₂.},
author = {Nikolay Moshchevitin},
journal = {Acta Arithmetica},
keywords = {linear form; diophantine exponent; minimal point},
language = {eng},
number = {1},
pages = {43-50},
title = {A note on two linear forms},
url = {http://eudml.org/doc/279255},
volume = {162},
year = {2014},
}

TY - JOUR
AU - Nikolay Moshchevitin
TI - A note on two linear forms
JO - Acta Arithmetica
PY - 2014
VL - 162
IS - 1
SP - 43
EP - 50
AB - We prove a result on approximations to a real number θ by algebraic numbers of degree ≤ 2 in the case when we have certain information about the uniform Diophantine exponent ω̂ for the linear form x₀ + θx₁ + θ²x₂.
LA - eng
KW - linear form; diophantine exponent; minimal point
UR - http://eudml.org/doc/279255
ER -

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