Thue–Siegel–Roth theorem
Teorema de Thue-Siegel-Roth
- Date
- 1909 (Thue) - 1955 (Roth) · confidence high
- Place
- London, United Kingdom
- Credited to
- Klaus Roth, Axel Thue y Carl Ludwig Siegel
- Field
- Knowledge & symbols
What was discovered
Fundamental theorem of Diophantine approximation stating that algebraic numbers do not admit rational approximations that are "too good"; successively refined by Thue, Siegel and Dyson, and completed by Klaus Roth in 1955.
What it led to
- Bounds on the number of solutions of Diophantine equations
- Advances in the theory of transcendental numbers
- Klaus Roth's Fields Medal (1958)
- Later development of Schmidt's subspace theorem