Category: p-adic Analysis

Posted 2022-08-21Updated 2023-07-08Algebra / Number Theory / Algebraic Number Theory / Commutative Algebra / p-adic Analysis / Local Fields

Hensel's Lemma - A Fair Application of Newton's Method and 'Double Induction'

We prove the celebrated Hensel's lemma using the so-called Newton's method and "double induction", and try to find solutions of polynomials in $\mathbb{Q}_p$.

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