Arithmetic properties of arguments of algebraic numbers on the unit circle

Geraldo César Gonçalves Ferreira, Sávio Ribas

An irrational number $\theta$ is called Diophantine if there exist $c>0$ and $\tau <\infty$ such that $\left|\theta -\frac{p}{q}\right|\ge \frac{c}{q^{\tau }}$ holds for every $(p,q) \in \mathbb{Z…