Hensel's Lemma

Explanations 2

• Suppose that we know that a polynomial f(x)f(x)f(x) has a root modulo pkp^kpk. Can we tell if it has a root modulo pk+1p^{k+1}pk+1? Hensel's lemma states that it is possible und…

  By Jason Chen

• Since Diophantus, mathematicians have been interested in the integer solutions to polynomial equations f(x)=0f(x) = 0f(x)=0. But number theorists are interested in other questio…

  By starlord37, Al-Yazeed Basyoni, Victor Wang