List questions from p-adic-number-theory

Published on 31 Mar 2026 - 20:58

382

Views

Proof that an archimedean absolute value on $\mathbb Q$ is equivalent to $|\ |_\infty$

Published on 27 May 2015 - 11:54

64

Views

Is the $\mathbb{Q}_2$- Space$ (\mathbb{Q}_2[\zeta], trace(cxy))$ hyperbolic?

Published on 31 Mar 2026 - 21:15

295

Views

Show an intersection of Galois groups is trivial

Published on 27 Mar 2026 - 22:04

138

Views

$p$(ain)-adic number sequence

Published on 05 Jun 2015 - 14:29

190

Views

A slightly stranger Hensel's Lemma

Published on 27 Mar 2026 - 3:57

418

Views

$p$-Adic complex numbers, expansion into series

Published on 06 Jun 2015 - 11:41

54

Views

Inverse limit of the following system.

Published on 06 Jun 2015 - 15:50

44

Views

Valuation of a particular element

Published on 27 Mar 2026 - 3:59

183

Views

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

Published on 25 Mar 2026 - 6:10

1.6k

Views

Primitive $p^n$-th root of unity in $\bar{\mathbb{Q}}_p$.

Published on 29 Mar 2026 - 3:53

395

Views

Proof that $\mathbb Q_p$ is unique up to unique isomorphism preserving the absolute values

Published on 23 Feb 2026 - 2:39

1.3k

Views

Understanding $p$-adic fields

Published on 19 Jun 2015 - 9:47

63

Views

Error in or another way of calculating $\frac{1}{2} \in \mathbb{Q}_3$

Published on 21 Jun 2015 - 12:10

809

Views

Reference for the p-adic numbers

Published on 23 Jun 2015 - 20:34

List Question

Squares in $\mathbb Z_p$

Proof that an archimedean absolute value on $\mathbb Q$ is equivalent to $|\ |_\infty$

Is the $\mathbb{Q}_2$- Space$ (\mathbb{Q}_2[\zeta], trace(cxy))$ hyperbolic?

Show an intersection of Galois groups is trivial

$p$(ain)-adic number sequence

A slightly stranger Hensel's Lemma

$p$-Adic complex numbers, expansion into series

Inverse limit of the following system.

Valuation of a particular element

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

Primitive $p^n$-th root of unity in $\bar{\mathbb{Q}}_p$.

Proof that $\mathbb Q_p$ is unique up to unique isomorphism preserving the absolute values

Understanding $p$-adic fields

Error in or another way of calculating $\frac{1}{2} \in \mathbb{Q}_3$

Reference for the p-adic numbers

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