On two classes of dense 2-generator subgroups in $\mathbb{C}$

Kirill Kamalutdinov, Andrey Tetenov, Dmitry Vaulin

We consider dense 2-generator multiplicative subgroups in $\mathbb{C}$ and show that for each point $z\in \mathbb{C}$ the set of limit values for the arguments of the powers of each…