Gelfond–Schneider theorem
Teorema de Gelfond-Schneider
- Date
- 1934 · confidence medium
- Place
- Moscow, Russia
- Credited to
- Aleksandr Gelfond and Theodor Schneider, independently (1934)
- Field
- Knowledge & symbols
What was discovered
A theorem establishing the transcendence of a broad class of numbers (such as a^b, with a algebraic and not 0 or 1, and b algebraic irrational), proved independently by Aleksandr Gelfond and Theodor Schneider, solving Hilbert's seventh problem.
What it led to
- Transcendental number theory
- Solution of Hilbert's seventh problem
- Theory of linear forms in logarithms (Baker)
- Cryptography and algebraic number theory