Definition:Gelfond's Constant/Historical Note
Jump to navigation
Jump to search
Historical Note on Gelfond's Constant
Gelfond's constant arises in the context of the $7$th problem of the Hilbert $23$.
It was proved to be transcendental in $1929$ by Alexander Osipovich Gelfond.
It was since determined to be a special case of the Gelfond-Schneider Theorem, established $\text {1934}$ – $\text {1935}$.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $2 \cdotp 665 \, 144 \ldots$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $2 \cdotp 66514 \, 4 \ldots$