Hensel's lemma
Lema de Hensel
- Date
- 1908 · confidence low
- Place
- Marburg, Germany
- Credited to
- Kurt Hensel
- Field
- Knowledge & symbols
What was discovered
A result in modular arithmetic, also called Hensel's lifting lemma, stating that if a univariate polynomial has a simple root modulo a prime p, that root can be lifted to a unique root modulo any higher power of p; developed by Kurt Hensel within his theory of p-adic numbers.
What it led to
- Foundation of the theory of p-adic numbers
- Key tool in modern algebraic number theory
- Applications in cryptography and computer algebra