Dirichlet's unit theorem
Teorema de las unidades de Dirichlet
- Date
- 1846 · confidence low
- Place
- Berlin, Germany
- Credited to
- Johann Peter Gustav Lejeune Dirichlet
- Field
- Knowledge & symbols
What was discovered
A theorem in algebraic number theory determining the rank of the unit group of the ring of algebraic integers of a number field, based on its numbers of real and complex embeddings, due to Peter Gustav Lejeune Dirichlet.
What it led to
- foundational result of modern algebraic number theory
- basis for studying the regulator of a number field
- applications in solving Diophantine equations
- later development of class field theory