Gelfond–Schneider theorem

In mathematics, the Gelfond–Schneider theorem establishes the transcendence of a large class of numbers.

It was originally proved independently in 1934 by Aleksandr Gelfond[1] and Theodor Schneider.

The transcendence of the following numbers follows immediately from the theorem: The Gelfond–Schneider theorem answers affirmatively Hilbert's seventh problem.