List questions from algebraic-number-theory

Published on 11 Apr 2026 - 7:24

234

Views

$Norm_{(\mathbb Q(\zeta_p)|\mathbb Q)}(1-\zeta_p)=p$

Published on 29 Mar 2026 - 21:53

114

Views

How to factor $5$ in $\mathbb{Q}[\sqrt[3]{2}]$?

Published on 11 Apr 2026 - 18:38

210

Views

A non-trivial absolute value on an algebraic number field $K$ restricts to $Q$ non-trivially.

Published on 14 Apr 2018 - 23:13

70

Views

Confusion about the class group

Published on 09 Apr 2026 - 13:24

99

Views

Counting ideals in number fields

Published on 11 Apr 2026 - 15:07

61

Views

Do all global fields have infinitely many principal prime ideals?

Published on 11 Apr 2026 - 22:16

451

Views

How to determine whether the images of two real embeddings of a number field are equal?

Published on 25 Mar 2026 - 13:57

219

Views

Finding number fields with certain decomposition group?

Published on 11 Apr 2026 - 11:08

431

Views

Class number of cubic subfield of $\mathbb{Q}(\zeta_p)$ is 1 mod 3?

Published on 02 Apr 2026 - 3:49

395

Views

For what prime $p$ does this quadratic form represent $0$?

Published on 24 Mar 2026 - 20:36

221

Views

Examples of Finite-index Open Subgroups of Idele Class Group

Published on 03 Apr 2026 - 16:20

132

Views

In a number field $\mathbb{Q}(\alpha)$, $\alpha$ integer on $\mathbb{Q},$ root of a p-Eisenstein polynomial: p doesn’t divide the index

Published on 22 Apr 2018 - 17:16

213

Views

Integral solution of $x^2+1=y^3$

Published on 23 Apr 2018 - 19:15

42

Views

If $\hat{O}$ is compact, then $\frac{\hat{O}}{\hat{p}}$ is finite

Published on 03 Apr 2026 - 19:38

List Question

Ring of Witt vectors over finite fields

$Norm_{(\mathbb Q(\zeta_p)|\mathbb Q)}(1-\zeta_p)=p$

How to factor $5$ in $\mathbb{Q}[\sqrt[3]{2}]$?

A non-trivial absolute value on an algebraic number field $K$ restricts to $Q$ non-trivially.

Confusion about the class group

Counting ideals in number fields

Do all global fields have infinitely many principal prime ideals?

How to determine whether the images of two real embeddings of a number field are equal?

Finding number fields with certain decomposition group?

Class number of cubic subfield of $\mathbb{Q}(\zeta_p)$ is 1 mod 3?

For what prime $p$ does this quadratic form represent $0$?

Examples of Finite-index Open Subgroups of Idele Class Group

In a number field $\mathbb{Q}(\alpha)$, $\alpha$ integer on $\mathbb{Q},$ root of a p-Eisenstein polynomial: p doesn’t divide the index

Integral solution of $x^2+1=y^3$

If $\hat{O}$ is compact, then $\frac{\hat{O}}{\hat{p}}$ is finite

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