List questions from hensels-lemma

Published on 29 Jan 2015 - 17:35

127

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Roots of unit in a DVR

Published on 17 Feb 2015 - 16:35

229

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How do I prove this statement about $n^\text{th}$-power residues?

Published on 26 Mar 2015 - 10:32

80

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Hensel’s Lemma Number Theory Confusion

Published on 09 Apr 2015 - 18:02

1k

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Hensel's lemma modular arithmatic example problem

Published on 10 May 2015 - 21:28

1.6k

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Hensel's lemma & $p$-adic polynomial roots

Published on 20 May 2015 - 19:39

182

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Solving equations in $\mathbb{Z}_3$ with Hensel's Lemma

Published on 09 Jun 2015 - 18:44

314

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Hensel lifting when not a power of a prime

Published on 21 Jun 2015 - 17:31

354

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What exactly is Hensel doing for us in this result?

Published on 02 Jul 2015 - 6:11

197

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Modular invertibility of a matrix

Published on 06 Sep 2015 - 17:10

1.7k

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Using Hensel's Lifting Lemma to Solve $x^2 + x + 34 \equiv 0 \pmod{81}$

Published on 13 Mar 2026 - 7:59

439

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Proving Hensel's Lemma for the ring of formal power series over the complex numbers

Published on 24 Feb 2026 - 18:10

68

Views

Give a sufficient condition for the general monic quadratic polynomial $f(X)=X^2+bX+c∈\mathbb Z[X]$ to have solutions in $\mathbb{Z}/p^n\mathbb{Z}$

Published on 23 Nov 2015 - 7:53

330

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Prove that the field of Puiseux series over $\mathbb C$ is algebraically closed

Published on 24 Mar 2026 - 8:52

2.4k

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Elementary proof for: If x is a quadratic residue mod p, then it is a quadratic residue mod p^k

Published on 21 Mar 2016 - 22:48

List Question

Question about the proof of Hensel's Lemma

Roots of unit in a DVR

How do I prove this statement about $n^\text{th}$-power residues?

Hensel’s Lemma Number Theory Confusion

Hensel's lemma modular arithmatic example problem

Hensel's lemma & $p$-adic polynomial roots

Solving equations in $\mathbb{Z}_3$ with Hensel's Lemma

Hensel lifting when not a power of a prime

What exactly is Hensel doing for us in this result?

Modular invertibility of a matrix

Using Hensel's Lifting Lemma to Solve $x^2 + x + 34 \equiv 0 \pmod{81}$

Proving Hensel's Lemma for the ring of formal power series over the complex numbers

Give a sufficient condition for the general monic quadratic polynomial $f(X)=X^2+bX+c∈\mathbb Z[X]$ to have solutions in $\mathbb{Z}/p^n\mathbb{Z}$

Prove that the field of Puiseux series over $\mathbb C$ is algebraically closed

Elementary proof for: If x is a quadratic residue mod p, then it is a quadratic residue mod p^k

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