A note on two linear forms
Volume 162 / 2014
Acta Arithmetica 162 (2014), 43-50
MSC: Primary 11J13; Secondary 11J25.
DOI: 10.4064/aa162-1-2
Abstract
We prove a result on approximations to a real number by algebraic numbers of degree \le 2 in the case when we have certain information about the uniform Diophantine exponent \hat{\omega } for the linear form x_0 +\theta x_1+\theta ^2x_2.