List questions from gaussian-integers

Published on 05 Nov 2020 - 14:48

54

Views

How to show that $2+\sqrt{5}i\not | 3$?

Published on 05 Nov 2020 - 19:19

167

Views

$\mathbb{Z}/\left(a^{2}+b^{2}\right) \mathbb{Z} \cong \mathbb{Z}[i] /\langle a+b i\rangle$ (Solution verification)

Published on 08 Nov 2020 - 10:28

754

Views

Multiplicative inverse of a gaussian integer

Published on 18 Nov 2020 - 20:37

90

Views

Can't understand part of proof of Catalan conjecture

Published on 20 Nov 2020 - 21:43

274

Views

How to prove that $\mathbb{Z}[\exp(\frac{2\pi i}{3})]$ is a Euclidean domain?

Published on 30 Nov 2020 - 17:07

357

Views

Indication of Gaussian integers solutions for $x^2+y^2=z^3$.

Published on 10 Dec 2020 - 2:53

219

Views

Finding complete residue systems in Gaussian integers

Published on 14 Dec 2020 - 0:51

78

Views

Gaussian rationals and Gaussian integers

Published on 19 Dec 2020 - 14:39

44

Views

Find all solutions for $x \cdot y = 5$ in $\mathbb{Z}[i] $

Published on 22 Dec 2020 - 10:38

227

Views

Given $N(\alpha) = pq$, $p$ ≡ $3$ mod $4$ and $q$ ≡ $3$ mod $4$, prove that $p = q$.

Published on 23 Dec 2020 - 23:47

427

Views

The gaussian integers modulo a pair of complex numbers

Published on 05 Jan 2021 - 14:50

114

Views

Countability of $\mathbb{Z} \times \mathbb{Z}$ using isomorphism with $\Bbb Z[i]$ - how to make this rigorous?

Published on 15 Jan 2021 - 4:34

111

Views

$a+bi\mid n \implies a^2 + b^2\mid n$ if $(a,b)=1$

Published on 16 Jan 2021 - 12:12

108

Views

Find a gcd of two polynomials from $\mathbb{Z}[i]$

Published on 23 Jan 2021 - 14:31

List Question

An ideal in $\Bbb Z[i]$ is $(1)$ if its generators have coprime norms

How to show that $2+\sqrt{5}i\not | 3$?

$\mathbb{Z}/\left(a^{2}+b^{2}\right) \mathbb{Z} \cong \mathbb{Z}[i] /\langle a+b i\rangle$ (Solution verification)

Multiplicative inverse of a gaussian integer

Can't understand part of proof of Catalan conjecture

How to prove that $\mathbb{Z}[\exp(\frac{2\pi i}{3})]$ is a Euclidean domain?

Indication of Gaussian integers solutions for $x^2+y^2=z^3$.

Finding complete residue systems in Gaussian integers

Gaussian rationals and Gaussian integers

Find all solutions for $x \cdot y = 5$ in $\mathbb{Z}[i] $

Given $N(\alpha) = pq$, $p$ ≡ $3$ mod $4$ and $q$ ≡ $3$ mod $4$, prove that $p = q$.

The gaussian integers modulo a pair of complex numbers

Countability of $\mathbb{Z} \times \mathbb{Z}$ using isomorphism with $\Bbb Z[i]$ - how to make this rigorous?

$a+bi\mid n \implies a^2 + b^2\mid n$ if $(a,b)=1$

Find a gcd of two polynomials from $\mathbb{Z}[i]$

Trending Questions

Popular # Hahtags

Popular Questions