TOPICS
Search

Hensel Lifting


Hensel lifting is the iterative extension of a solution of a polynomial congruence modulo p^k to one modulo a higher power of the prime p. If f(a)=0  (modp) and f^'(a)≢0  (modp), there is a unique p-adic root congruent to a modulo p.


See also

Hensel's Lemma

Explore with Wolfram|Alpha

References

Gouvêa, F. Q. p-adic Numbers: An Introduction, 2nd ed. Berlin, Germany: Springer-Verlag, 1997.

Cite this as:

Weisstein, Eric W. "Hensel Lifting." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HenselLifting.html

Subject classifications