关于$\mathbb C$中的两类稠密2-生成子群
On two classes of dense 2-generator subgroups in $\mathbb C$
摘要:
考虑$\mathbb C$中稠密的2-生成元乘法子群,证明了对于每个点$z\in \mathbb C$,每个生成元在点$z$处的幂的自变量的极限值集要么是有限的,要么是$[-π,π]$
英文摘要:
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 $[-π,π]$
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