Gelfond-Schneider Constant is Transcendental/Historical Note

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Historical Note on Gelfond-Schneider Constant is Transcendental

The question of the transcendental nature of the Gelfond-Schneider constant $2^{\sqrt 2}$ was raised in the context of the $7$th problem of the Hilbert $23$.

That the Gelfond-Schneider Constant is Transcendental was established in $1930$ by Rodion Osievich Kuzmin.

It was since determined to be a special case of the Gelfond-Schneider Theorem, established $\text {1934}$ – $\text {1935}$.


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