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348 B
348 B
We have a vanishing polynomial Z(X) = X^N - 1. Implicitly we are proving that
X^N = 1
What are the solutions to this polynomial? Well the answer is \omega which is any root of 1.
Therefore the solution to the formula X^N - 1 will be all the values of X^N = 1 or
X^N - 1 = (\omega - 1)(\omega^2 - 1)\cdots(\omega^{N - 1} - 1)