A note on two linear forms
Abstract
We prove a result on approximations to a real number $\theta$ by algebraic numbers of degree $\le 2$ in the case when we have information about the uniform Diophantine exponent $\hat{\omega}$ for the linear form $x_0 +\theta x_1+\theta^2x_2$.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2013
- DOI:
- 10.48550/arXiv.1303.6093
- arXiv:
- arXiv:1303.6093
- Bibcode:
- 2013arXiv1303.6093M
- Keywords:
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- Mathematics - Number Theory;
- 11J13
- E-Print:
- 6 pages