Quote:
Originally Posted by floatiestring
Let xn be the sum of all complex roots to the polynomial equation x^n = 1. Then, let a be the arithmetic mean of all xn for integer n.
I give this petition a resounding +a.

When n = 0, we have infinitely many solutions to x^n = 1, so how you define x_0 in this case (if you do it as an infinite sum, in what order are the summands?)
Also, when you say "let a be the arithmetic mean of all x_n for integer n" it seems like you're taking the mean of an infinite set. How are you defining this exactly?