Geodesic
On two classes of dense 2-generator subgroups in $\mathbb C$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 891-895

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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 generator at the point $z$ is either finite or is $[-\pi,\pi]$.
Keywords: Kronecker sets, dense groups, continued fractions. 
@article{SEMR_2014_11_a44,
     author = {A. V. Tetenov and K. G. Kamalutdinov and D. A. Vaulin},
     title = {On two classes of dense 2-generator subgroups in $\mathbb C$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {891--895},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a44/}
}
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A. V. Tetenov; K. G. Kamalutdinov; D. A. Vaulin. On two classes of dense 2-generator subgroups in $\mathbb C$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 891-895. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a44/