List questions from algebraic-number-theory

Published on 14 Apr 2026 - 10:58

106

Views

Pre-image of element in quaternion algebra

Published on 07 Apr 2026 - 3:50

819

Views

Extending absolute values on local fields - what is the 'correct' normalization and the relation to the global theory?

Published on 12 Apr 2026 - 10:04

79

Views

Characterization of totally-split primes in $\mathbb{Q}(\zeta_n)$

Published on 14 Apr 2026 - 20:13

425

Views

Prove the sum of the Mobius function over monic polynomials of degree $n$ is $0$ if $n > 1$

Published on 14 Apr 2026 - 2:31

28

Views

Closed-Form Formula For Higher Powers of an Algebraic Number

Published on 12 Apr 2026 - 15:12

491

Views

Finding all rational points in $x^2+y^2=6$.

Published on 27 Mar 2026 - 19:32

182

Views

Problem in understanding Nakayama's lemma.

Published on 11 Apr 2026 - 14:23

647

Views

Show that $n^2-1+n\sqrt{d}$ is the fundamental unit in $\mathbb{Z}[\sqrt{d}]$ for all $n\geq 3$

Published on 05 Apr 2026 - 16:19

767

Views

Meaning of Hasse-Arf theorem

Published on 14 Apr 2026 - 5:50

264

Views

If $I^m=(a)^m$, for $I$ and $(a)$ ideals in the ring of integers $\mathcal{O}_L$ of a number field, can I deduce that $I=(a)$?

Published on 13 Apr 2026 - 20:00

2.2k

Views

Finding all rational solutions to $y^2=x^3-432$

Published on 14 Apr 2026 - 4:45

135

Views

Transferring big Witt vectors from "power series form" to "vector form"

Published on 13 Apr 2026 - 21:03

332

Views

Computing the index $\left(\mathbb Z\left[\frac{1+\sqrt{5}}{2}\right]:\mathbb Z \left[\sqrt{5}\right]\right)$?

Published on 25 Mar 2026 - 17:39

119

Views

Can a given field have multiple value groups?

Published on 09 Apr 2026 - 7:39

List Question

Unramified extension of $K_π$ and $K_{π,n}$

Pre-image of element in quaternion algebra

Extending absolute values on local fields - what is the 'correct' normalization and the relation to the global theory?

Characterization of totally-split primes in $\mathbb{Q}(\zeta_n)$

Prove the sum of the Mobius function over monic polynomials of degree $n$ is $0$ if $n > 1$

Closed-Form Formula For Higher Powers of an Algebraic Number

Finding all rational points in $x^2+y^2=6$.

Problem in understanding Nakayama's lemma.

Show that $n^2-1+n\sqrt{d}$ is the fundamental unit in $\mathbb{Z}[\sqrt{d}]$ for all $n\geq 3$

Meaning of Hasse-Arf theorem

If $I^m=(a)^m$, for $I$ and $(a)$ ideals in the ring of integers $\mathcal{O}_L$ of a number field, can I deduce that $I=(a)$?

Finding all rational solutions to $y^2=x^3-432$

Transferring big Witt vectors from "power series form" to "vector form"

Computing the index $\left(\mathbb Z\left[\frac{1+\sqrt{5}}{2}\right]:\mathbb Z \left[\sqrt{5}\right]\right)$?

Can a given field have multiple value groups?

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