- #1
eczeno
- 242
- 0
I am playing around with the set {e^(2ki)|k=intiger}. all of these numbers when raised to the pi power give one (at least as one possible value). In other words, they can all be thought of as values of 1^(1/pi). There are a countable infinity of them, and I believe that these numbers are dense on the complex unit circle, but I am having a hard time thinking of how, even to begin, to show that. any thoughts on that, or this set in general?