More fun in 2015, Part 12
Number Theory
Level
4
What is the sum of all primitive \(2015^\text{th}\) roots of unity, \(w\), meaning that 2015 is the smallest positive integer \(n\) such that \(w^n=1\)?
Extra Credit Question: What is the sum of the primitive \(2009^\text{th}\) roots of unity?
by
Otto Bretscher