List questions from algebraic-number-theory

Published on 11 Apr 2026 - 13:50

97

Views

What is the conductor of $ \mathbb Q(\sqrt 2 )/\mathbb Q?$ $4\mathbb Z$ or $8 \mathbb Z?$

Published on 03 Jan 2019 - 6:36

160

Views

Parametrization of cubic fields

Published on 13 Apr 2026 - 10:17

625

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What other kinds of cubic integer rings are there?

Published on 13 Apr 2026 - 16:14

160

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Are all finite extensions of perfect fields cyclic?

Published on 13 Apr 2026 - 16:49

240

Views

Characterization for the continuity of Weil representations

Published on 13 Apr 2026 - 14:53

1.2k

Views

Primes in $\mathbb{Z}[\sqrt{2}]$?

Published on 11 Apr 2026 - 12:28

862

Views

Chebotarev Density Theorem answers to factorization of polynomials

Published on 30 Mar 2026 - 14:02

168

Views

Field with vanishing Brauer group which is not $C_1$

Published on 09 Apr 2026 - 1:58

165

Views

Make a short exact sequence of abstract groups into a short exact sequence of topological groups (motivated by the Weil Group)

Published on 13 Apr 2026 - 6:49

484

Views

Nonarchimedean convergent power series

Published on 09 Apr 2026 - 0:29

269

Views

Prove that $\sqrt{3\pm\sqrt{7}} \not\in \mathbb{Q}(\sqrt{3\mp\sqrt{7}})$.

Published on 30 Mar 2026 - 14:01

155

Views

Showing that an ideal is not principal in $\mathbb{Z}[\sqrt{-21}]$

Published on 10 Apr 2026 - 19:12

149

Views

Showing that an ideal in $\mathbb{Z}[\sqrt{-21}]$ is principal

Published on 10 Apr 2026 - 1:09

88

Views

If $x$ is algebraic over a quotient field $K$ of $A$, then there exists an integral element $cx$ for some $A \ni c \neq 0$.

Published on 09 Apr 2026 - 3:41

List Question

Neukirch, Haar measure on Minkowski space

What is the conductor of $ \mathbb Q(\sqrt 2 )/\mathbb Q?$ $4\mathbb Z$ or $8 \mathbb Z?$

Parametrization of cubic fields

What other kinds of cubic integer rings are there?

Are all finite extensions of perfect fields cyclic?

Characterization for the continuity of Weil representations

Primes in $\mathbb{Z}[\sqrt{2}]$?

Chebotarev Density Theorem answers to factorization of polynomials

Field with vanishing Brauer group which is not $C_1$

Make a short exact sequence of abstract groups into a short exact sequence of topological groups (motivated by the Weil Group)

Nonarchimedean convergent power series

Prove that $\sqrt{3\pm\sqrt{7}} \not\in \mathbb{Q}(\sqrt{3\mp\sqrt{7}})$.

Showing that an ideal is not principal in $\mathbb{Z}[\sqrt{-21}]$

Showing that an ideal in $\mathbb{Z}[\sqrt{-21}]$ is principal

If $x$ is algebraic over a quotient field $K$ of $A$, then there exists an integral element $cx$ for some $A \ni c \neq 0$.

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