List questions from class-field-theory

Published on 22 Sep 2017 - 6:04

80

Views

Sign of an Infinite Prime

Published on 28 Sep 2017 - 14:13

185

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Generalization of a $\det$ series for $\zeta_{\mathbb{Q}(\zeta_k)}$

Published on 25 Mar 2026 - 22:30

85

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On sum of squares

Published on 12 Oct 2017 - 12:45

1.1k

Views

What is the Weil group of a global field $K$?

Published on 25 Mar 2026 - 23:38

127

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Norm Completion of Local Field

Published on 08 Nov 2017 - 13:24

112

Views

'Reciprocity' in $\mathbb{Z}[\zeta_n]$

Published on 26 Mar 2026 - 4:52

69

Views

Finite cardinality modules over $R=\Lambda(\Gamma)\cong\mathbb Z_p[[T]]$

Published on 09 Nov 2017 - 21:00

352

Views

ramification of infinite place of ${Q}$

Published on 25 Nov 2017 - 17:19

126

Views

Relation between class numbers of $\mathbb{Q}(\sqrt{pm})$ and $\mathbb{Q}(\sqrt{-m})$

Published on 26 Mar 2026 - 4:51

519

Views

The norm of a fundamental unit and the narrow Hilbert class field

Published on 23 Dec 2017 - 15:25

305

Views

Abelian extensions of algebraic extensions of $\Bbb Q$

Published on 27 Dec 2017 - 16:32

24

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Show that if $P(x)=ax^2+bx+c$ defines some quadratic field $K=Q$, $ac$ is principal.

Published on 29 Dec 2017 - 7:40

103

Views

Question on the Class Field Theory

Published on 31 Dec 2017 - 9:35

408

Views

Exercises for local class field theory

Published on 05 Jan 2018 - 3:32

List Question

Class Field Theory Video Lectures

Sign of an Infinite Prime

Generalization of a $\det$ series for $\zeta_{\mathbb{Q}(\zeta_k)}$

On sum of squares

What is the Weil group of a global field $K$?

Norm Completion of Local Field

'Reciprocity' in $\mathbb{Z}[\zeta_n]$

Finite cardinality modules over $R=\Lambda(\Gamma)\cong\mathbb Z_p[[T]]$

ramification of infinite place of ${Q}$

Relation between class numbers of $\mathbb{Q}(\sqrt{pm})$ and $\mathbb{Q}(\sqrt{-m})$

The norm of a fundamental unit and the narrow Hilbert class field

Abelian extensions of algebraic extensions of $\Bbb Q$

Show that if $P(x)=ax^2+bx+c$ defines some quadratic field $K=Q$, $ac$ is principal.

Question on the Class Field Theory

Exercises for local class field theory

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