List questions from eisenstein-integers | MathQa

How to show that $a^2+ab+b^2<p$ for integers $a,b$?

Published on 14 Jan 2025 - 14:16

Eisenstein's Criterion with an example

Published on 14 Jan 2025 - 14:16

Smallest residue over $\Bbb Z[\omega]$

Published on 14 Jan 2025 - 14:16

Eisenstein Integers

Published on 14 Jan 2025 - 14:16

Natural generalizations of Gaussian & Eisenstein integers?

Published on 14 Jan 2025 - 14:16

On proving that $\mathbb{Z}[\omega]$ is a Euclidean domain.

Published on 14 Jan 2025 - 14:16

For Eisenstein numbers $a + b\frac{1+\sqrt{3} i}{2}$ with $0 \le a, b \le n$ how can I efficiently identify all of the primes?

Published on 14 Jan 2025 - 14:15

Eisenstein Integers modulo $(1-\omega)^2$

Published on 14 Jan 2025 - 14:16

$\exists X, Y, Z \in \mathbb{Z}[\omega]$ such that $X^3 + Y^3 + Z^3 = \omega$?

Published on 14 Jan 2025 - 14:16

Automorphism groups of $\mathbf Z$, $\mathbf Z[i]$, $\mathbf Z[\omega]$

Published on 14 Jan 2025 - 14:16