If $\omega$ is a complex number, $x$ is real and prime $p>3$, find the conditions for which $$\prod_{j=1}^{p-1}(x-\omega^j)=\frac{x^p-1}{x-1}=1+x+\ldots+x^{p-1}.$$
2026-03-26 17:38:13.1774546693
Elementary product formula
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