I have the following question:
Prove that the set $\{\exp(b_{n}z):n\in\mathbb N\}$ is linearly independent for some complex point $z\in\mathbb Z$.
Prove that the set $\{\exp(b_{n}z):n\in\mathbb N\}$ is linearly independent for all $z\in\mathbb Z$.
I have the following question:
Prove that the set $\{\exp(b_{n}z):n\in\mathbb N\}$ is linearly independent for some complex point $z\in\mathbb Z$.
Prove that the set $\{\exp(b_{n}z):n\in\mathbb N\}$ is linearly independent for all $z\in\mathbb Z$.