Category:Gelfond-Schneider Theorem

This category contains pages concerning Gelfond-Schneider Theorem:

Let $\alpha$ and $\beta$ be algebraic numbers (possibly complex) such that $\alpha \notin \set {0, 1}$.

Let $\beta$ be irrational.

Then any value of $\alpha^\beta$ is transcendental.

Source of Name

This entry was named for Alexander Osipovich Gelfond and Theodor Schneider.