Roots of Markoff quadratic forms as strongly badly approximable numbers

Jan Florek

For a real number $x$, $\Vert x\Vert =\min \{|x-p|:p\in Z\}$ is the distance of $x$ to the nearest integer. We say that two real numbers $\theta$, ${\theta }^{\prime }$ are $\pm$ equivalent if their sum or…