List questions from gaussian-integers

Published on 05 Jul 2016 - 21:32

432

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Integral closure of Gaussian Integers

Published on 25 Mar 2026 - 4:39

146

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Attempt to represent gaussian integers with matrices over ${\mathbb Z_+}^{4\times4}$

Published on 19 Jul 2016 - 13:30

365

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Find the gcd of the following Gaussian integers

Published on 20 Jul 2016 - 4:50

5.8k

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Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime

Published on 23 Jul 2016 - 10:00

72

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Is it true that $\mathbb{Z}[i]/m\mathbb{Z}[i]$ has exactly $\text{N}(m)$ elements?

Published on 26 Jul 2016 - 16:27

407

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About the distribution of Gaussian prime pairs

Published on 06 Aug 2016 - 10:37

64

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Asymptotic Behaviour of Rational Approximations of an Irrational Real Number

Published on 22 Aug 2016 - 16:13

110

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Solutions of $X^2+2=Y^3$ in $\mathbb{Z}[i]$

Published on 24 Aug 2016 - 16:53

178

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$\sqrt{-1} \in \mathbb Q(\sqrt{-3})$?

Published on 28 Aug 2016 - 3:17

864

Views

Theorem on the primeness of an integer prime in the ring of Gaussian integers

Published on 19 Sep 2016 - 16:24

352

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Show that $\delta$ is a Euclidean valuation on the Gaussian Integers

Published on 09 Oct 2016 - 11:31

1.2k

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How to describe a systematic way to do division with remainder in $Z[i]$

Published on 13 Oct 2016 - 11:38

2.6k

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How can I find $\gcd(16+7i,10-5i)$ by using the Euclidean algorithm?

Published on 15 Oct 2016 - 1:36

150

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Probability of a box of lightbulbs

Published on 01 Nov 2016 - 3:36

List Question

A few questions on the Gaussian integers

Integral closure of Gaussian Integers

Attempt to represent gaussian integers with matrices over ${\mathbb Z_+}^{4\times4}$

Find the gcd of the following Gaussian integers

Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime

Is it true that $\mathbb{Z}[i]/m\mathbb{Z}[i]$ has exactly $\text{N}(m)$ elements?

About the distribution of Gaussian prime pairs

Asymptotic Behaviour of Rational Approximations of an Irrational Real Number

Solutions of $X^2+2=Y^3$ in $\mathbb{Z}[i]$

$\sqrt{-1} \in \mathbb Q(\sqrt{-3})$?

Theorem on the primeness of an integer prime in the ring of Gaussian integers

Show that $\delta$ is a Euclidean valuation on the Gaussian Integers

How to describe a systematic way to do division with remainder in $Z[i]$

How can I find $\gcd(16+7i,10-5i)$ by using the Euclidean algorithm?

Probability of a box of lightbulbs

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