Gelfond–Schneider theorem

E1681011 UNEXPLORED

The Gelfond–Schneider theorem is a fundamental result in transcendental number theory that provides conditions under which numbers of the form \(a^b\) (with algebraic \(a \neq 0,1\) and irrational algebraic \(b\)) are transcendental.

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Gelfond–Schneider theorem canonical 2

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Baker theorem on linear forms in logarithms relatedTo Gelfond–Schneider theorem
Transcendental Number Theory influencedBy Gelfond–Schneider theorem