List questions from gaussian-integers

Published on 03 Nov 2016 - 18:29

1.1k

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If $a^2 + b^2$ is a prime number $p$, with $p \equiv 1$ (mod $4$), then $a + bi$ is prime in the Gaussian integers $\mathbb{Z}[i]$

Published on 05 Nov 2016 - 23:21

154

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Proving you can write the Gaussian integers in a certain form

Published on 10 Nov 2016 - 21:02

49

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New Gaussian complex number

Published on 29 Nov 2016 - 15:37

71

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order of $Z[i]/\langle 2+4i\rangle$

Published on 06 Dec 2016 - 9:02

175

Views

Quotient of Gaussian Integers

Published on 12 Dec 2016 - 14:53

196

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Generalizations to Eisenstein and Gaussian Mersenne Primes

Published on 24 Dec 2016 - 1:56

311

Views

Alternating binomial sum over even coefficients.

Published on 26 Dec 2016 - 12:58

199

Views

Solving equations in Gaussian integer domain

Published on 16 Jan 2017 - 9:44

111

Views

How are the gaussian integers generated/derivated?

Published on 16 Jan 2017 - 16:01

538

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Gaussian integers modulo p not congruent to $3 \pmod{4}$

Published on 18 Jan 2017 - 2:01

395

Views

primitive roots in Gaussian integer domain modulo $p \in \mathbb{Z}^+ $

Published on 20 Jan 2017 - 3:40

227

Views

Determining that a certain prime integer is irreducible in the Gaussian integers

Published on 05 Feb 2017 - 18:11

181

Views

Prove that $\mathbb{Z}[i]$ is a euclidean domain (intuition behind the geometric proof)

Published on 23 Feb 2026 - 8:40

4.1k

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About Ring of Gaussian integers modulo $n$

Published on 25 Feb 2017 - 3:36

List Question

Cosets of $\langle 1+i\rangle$ in $\mathbb{Z}[i]$

If $a^2 + b^2$ is a prime number $p$, with $p \equiv 1$ (mod $4$), then $a + bi$ is prime in the Gaussian integers $\mathbb{Z}[i]$

Proving you can write the Gaussian integers in a certain form

New Gaussian complex number

order of $Z[i]/\langle 2+4i\rangle$

Quotient of Gaussian Integers

Generalizations to Eisenstein and Gaussian Mersenne Primes

Alternating binomial sum over even coefficients.

Solving equations in Gaussian integer domain

How are the gaussian integers generated/derivated?

Gaussian integers modulo p not congruent to $3 \pmod{4}$

primitive roots in Gaussian integer domain modulo $p \in \mathbb{Z}^+ $

Determining that a certain prime integer is irreducible in the Gaussian integers

Prove that $\mathbb{Z}[i]$ is a euclidean domain (intuition behind the geometric proof)

About Ring of Gaussian integers modulo $n$

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