List questions from algebraic-number-theory

Published on 15 Apr 2026 - 9:46

348

Views

Showing $\mathbb{Z}+\mathbb{Z}\left[\frac{1+\sqrt m}{2}\right]$ is a Euclidean domain

Published on 16 Apr 2026 - 1:57

177

Views

Generalizing the Big Omega function to Integral Domains

Published on 12 Apr 2026 - 19:39

706

Views

Prove by contradiction that $(x-y)^3+(y-z)^3+(z-x)^3 = 30$ has no integer solutions

Published on 15 Apr 2026 - 8:30

2.5k

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Ideals, Dedekind domain and $\mathbb{Z}[\sqrt{-3}]$

Published on 15 Apr 2026 - 21:03

189

Views

What are the missing gaps to prove Goldbach Conjecture?

Published on 11 Apr 2026 - 14:18

383

Views

Name of a certain set

Published on 15 Apr 2026 - 21:39

495

Views

Prime containing ideal in number ring divides the index of ideal

Published on 14 Apr 2026 - 15:10

133

Views

Prove all elements of $A$ is algebraic over $C$, if all elements of $A$ are algebraic over $B$ and $B$ are algebraic over $C$

Published on 15 Apr 2026 - 7:42

3.9k

Views

How does (21) factor into prime ideals in the ring $\mathbb{Z}[\sqrt{-5}]$?

Published on 09 Apr 2026 - 10:11

62

Views

$(X+4)=X^4+X^3+X^2+X+1 \pmod{5}$ by ramification of prime ideals

Published on 16 Apr 2026 - 19:29

80

Views

Find all positive integer pairs $(x,y)$ and $(u,v)$ with certain relations.

Published on 14 Apr 2026 - 8:55

603

Views

Generalized class group of $\mathbb Q(\sqrt{-5})$

Published on 18 Apr 2026 - 19:38

1.8k

Views

Finding the Discriminant of $f(x)=x^n+ax+b$ Using Differentiation

Published on 13 Apr 2026 - 1:18

4.9k

Views

Ring of the integer $p$-adic numbers $\mathbb{Z}_p$

Published on 09 Apr 2026 - 15:24

List Question

Linear independence of fractional powers

Showing $\mathbb{Z}+\mathbb{Z}\left[\frac{1+\sqrt m}{2}\right]$ is a Euclidean domain

Generalizing the Big Omega function to Integral Domains

Prove by contradiction that $(x-y)^3+(y-z)^3+(z-x)^3 = 30$ has no integer solutions

Ideals, Dedekind domain and $\mathbb{Z}[\sqrt{-3}]$

What are the missing gaps to prove Goldbach Conjecture?

Name of a certain set

Prime containing ideal in number ring divides the index of ideal

Prove all elements of $A$ is algebraic over $C$, if all elements of $A$ are algebraic over $B$ and $B$ are algebraic over $C$

How does (21) factor into prime ideals in the ring $\mathbb{Z}[\sqrt{-5}]$?

$(X+4)=X^4+X^3+X^2+X+1 \pmod{5}$ by ramification of prime ideals

Find all positive integer pairs $(x,y)$ and $(u,v)$ with certain relations.

Generalized class group of $\mathbb Q(\sqrt{-5})$

Finding the Discriminant of $f(x)=x^n+ax+b$ Using Differentiation

Ring of the integer $p$-adic numbers $\mathbb{Z}_p$

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