List questions from p-adic-number-theory

Published on 04 Apr 2026 - 19:13

177

Views

Definition of $\mathfrak{p}$-adic field in Cassels

Published on 27 Mar 2026 - 6:07

498

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Is $(\mathbb{Z},d)$ compact?

Published on 06 Dec 2021 - 6:21

145

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Irreducibility of $x^n＋px＋p^2(n≧3)$ and newton polygon

Published on 07 Dec 2021 - 8:24

80

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What is the ramification index of the extension field containing both $\alpha$ and $\beta$?

Published on 08 Dec 2021 - 7:41

314

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Eisenstein criterion and Newton polygon

Published on 09 Dec 2021 - 7:12

161

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For each number field $K$ with place $\mathfrak{p}$, prove that $K_{\mathfrak{p}}^{\mathrm{ab}} = K_{\mathfrak{p}} K^{\mathrm{ab}}$

Published on 29 Mar 2026 - 15:02

58

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Subgroups of Weil-Deligne group

Published on 29 Mar 2026 - 14:57

92

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Does $\sqrt[3^5-1]{3}$ exist in $\mathbb{Z}_3$ (or, $\mathbb{Q}_3)$?

Published on 15 Dec 2021 - 9:51

160

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Valuation ideal on non-archimedean field is a principal ideal?

Published on 15 Dec 2021 - 18:30

247

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Equivalence of inverse limit and power series definition of p-adic integers

Published on 16 Dec 2021 - 14:28

110

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What's going on in this notation for the projective limit in Serre?

Published on 29 Mar 2026 - 11:00

63

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Is it possible that $L$ is not totally ramified over $K$?

Published on 17 Dec 2021 - 14:31

63

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Subfields $K$ of $\overline{\Bbb{Q}}\cap \Bbb{Q}_p$ such that $Gal(\overline{\Bbb{Q}}/K)$ is solvable

Published on 20 Dec 2021 - 1:47

91

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Galois action on a uniformizer of a non-archimedean local field

Published on 27 Mar 2026 - 7:50

List Question

Why is $GL_d(\mathbb{Z}_p)$ compact in $GL_d(\mathbb{Q}_p)$?

Definition of $\mathfrak{p}$-adic field in Cassels

Is $(\mathbb{Z},d)$ compact?

Irreducibility of $x^n＋px＋p^2(n≧3)$ and newton polygon

What is the ramification index of the extension field containing both $\alpha$ and $\beta$?

Eisenstein criterion and Newton polygon

For each number field $K$ with place $\mathfrak{p}$, prove that $K_{\mathfrak{p}}^{\mathrm{ab}} = K_{\mathfrak{p}} K^{\mathrm{ab}}$

Subgroups of Weil-Deligne group

Does $\sqrt[3^5-1]{3}$ exist in $\mathbb{Z}_3$ (or, $\mathbb{Q}_3)$?

Valuation ideal on non-archimedean field is a principal ideal?

Equivalence of inverse limit and power series definition of p-adic integers

What's going on in this notation for the projective limit in Serre?

Is it possible that $L$ is not totally ramified over $K$?

Subfields $K$ of $\overline{\Bbb{Q}}\cap \Bbb{Q}_p$ such that $Gal(\overline{\Bbb{Q}}/K)$ is solvable

Galois action on a uniformizer of a non-archimedean local field

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