# Are the \$2^n\$-th roots of the unit rationally unbiased? Answer

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## Are the \$2^n\$-th roots of the unit rationally unbiased?

The following query was motivated by this MO-problem (which in its rotate was motivated by one other MO-post).

I await that the respond ought to breathe identified to specialists (due to very unostentatious formulation)…

Problem. Let $$nge 2$$. Is the clique of complicated numbers $${e^{ipi ok/2^n}:0le ok<2^n}$$ linearly unbiased over the bailiwick of rationals?

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