Question

What would be the Weierstrass factorisation of $f(x)=p-x+px^2$?

score 81 · Answer 1 · 2020-06-06 18:25:44

81

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What would be the Weierstrass factorisation of $f(x)=p-x+px^2$?

Published on 06 Jun 2020 - 18:25

score 70 · Answer 2 · 2026-03-25 18:57:44

70

Views

Any compact subset of $\bar{\mathbb{Q}}_{p}$ is in a finite extension of $\mathbb{Q}_p$?

Published on 25 Mar 2026 - 18:57

score 120 · Answer 3 · 2020-06-08 14:14:40

120

Views

Residue classes $p$-adic numbers

Published on 08 Jun 2020 - 14:14

score 215 · Answer 4 · 2026-02-23 01:18:55

215

Views

Banach-Alaoglu Theorem over spherically complete non-Archimedean fields

Published on 23 Feb 2026 - 1:18

score 236 · Answer 5 · 2026-03-26 08:14:39

236

Views

Explanation for devissage argument

Published on 26 Mar 2026 - 8:14

score 48 · Answer 6 · 2026-03-26 19:20:07

48

Views

Checking if there is some square root of an element over an extension of the field of 5-adic numbers

Published on 26 Mar 2026 - 19:20

score 77 · Answer 7 · 2026-03-25 20:36:32

77

Views

Residue field of an infinite extension of $\mathbb{Q}_p$

Published on 25 Mar 2026 - 20:36

score 69 · Answer 8 · 2020-06-13 14:54:11

69

Views

When can I say that $A \otimes_{\mathbb{Z}_p} \mathbb{Q}_p \cong B \otimes_{\mathbb{Z}_p} \mathbb{Q}_p$ implies that $ A \cong B$?

Published on 13 Jun 2020 - 14:54

score 379 · Answer 9 · 2020-06-16 19:03:23

379

Views

Proving that the 7-adic-integers contains a square root of 2 without using Hensel's Lemma

Published on 16 Jun 2020 - 19:03

score 148 · Answer 10 · 2026-03-28 22:24:18

148

Views

Perfect $\mathbb Z_\ell$-modules

Published on 28 Mar 2026 - 22:24

score 71 · Answer 11 · 2026-03-26 09:19:54

71

Views

A complete DVR $A$ is a $\Bbb Z_p$ module, Serre's local field

Published on 26 Mar 2026 - 9:19

score 57 · Answer 12 · 2020-06-18 13:54:48

57

Views

Showing that the $p$-adic valuation on $\Bbb Z$ is a valuation.

Published on 18 Jun 2020 - 13:54

score 47 · Answer 13 · 2026-03-25 03:02:40

47

Views

Show that the sequence constructed in the proof for Hensel's lemma is Cauchy.

Published on 25 Mar 2026 - 3:02

score 437 · Answer 14 · 2026-03-25 23:42:35

437

Views

Maximal tamely ramified abelian extension of $\mathbb{Q}_p$ is finite over the maximal unramified extension $\mathbb{Q}_p^{nr}$?

Published on 25 Mar 2026 - 23:42

score 188 · Answer 15 · 2020-06-21 13:20:48

188

Views

Showing a prime is inert

Published on 21 Jun 2020 - 13:20

List Question

What would be the Weierstrass factorisation of $f(x)=p-x+px^2$?

Any compact subset of $\bar{\mathbb{Q}}_{p}$ is in a finite extension of $\mathbb{Q}_p$?

Residue classes $p$-adic numbers

Banach-Alaoglu Theorem over spherically complete non-Archimedean fields

Explanation for devissage argument

Checking if there is some square root of an element over an extension of the field of 5-adic numbers

Residue field of an infinite extension of $\mathbb{Q}_p$

When can I say that $A \otimes_{\mathbb{Z}_p} \mathbb{Q}_p \cong B \otimes_{\mathbb{Z}_p} \mathbb{Q}_p$ implies that $ A \cong B$?

Proving that the 7-adic-integers contains a square root of 2 without using Hensel's Lemma

Perfect $\mathbb Z_\ell$-modules

A complete DVR $A$ is a $\Bbb Z_p$ module, Serre's local field

Showing that the $p$-adic valuation on $\Bbb Z$ is a valuation.

Show that the sequence constructed in the proof for Hensel's lemma is Cauchy.

Maximal tamely ramified abelian extension of $\mathbb{Q}_p$ is finite over the maximal unramified extension $\mathbb{Q}_p^{nr}$?

Showing a prime is inert

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