If t² + π² is rational for a real t ≠ 0 with e^t algebraic, then e^{iγ/π} is transcendental for every rational γ ≠ 0

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If t² + π² is rational for a real t ≠ 0 with e^t algebraic, then e^{iγ/π} is transcendental for every rational γ ≠ 0 · Prove2Me