Minkowski's theorem
Teorema de Minkowski
- Date
- 1889 · confidence medium
- Place
- Zurich, Switzerland
- Credited to
- Hermann Minkowski
- Field
- Knowledge & symbols
What was discovered
A theorem in the geometry of numbers stating that every convex set in n-dimensional space, symmetric about the origin and with volume greater than 2ⁿ, contains a non-zero integer point; formulated by Hermann Minkowski in 1896 as the foundation of his «geometry of numbers».
What it led to
- Foundation of the geometry of numbers as a branch of mathematics
- Applications in algebraic number theory and Diophantine approximation
- Influence on lattice-based cryptography