List questions from gaussian-integers

Published on 23 Feb 2011 - 10:12

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Units of Gaussian integers

Published on 11 Feb 2012 - 7:50

354

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Equivalence of two characterizations of the norm of a quadratic integer.

Published on 17 Apr 2012 - 1:28

433

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If $\alpha$|$\gamma$ and$\beta$|$\gamma$, then $\alpha$$\beta$|$\gamma$?

Published on 27 Sep 2012 - 3:17

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Is there a known necessary and sufficient criterion for a Gaussian Integer $a+ib$ to be prime in $\mathbb{Z}[i]$?

Published on 15 Aug 2020 - 13:31

293

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Prove $(7)$ is maximal in Gaussian Integers

Published on 19 Aug 2020 - 12:33

521

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Proving that a Gaussian integer $a+bi$ with $a,b\neq0$ is composite in $\mathbb{Z}[i]$ if its norm $a^2+b^2$ is composite in $\mathbb{N}$?

Published on 30 Aug 2020 - 14:42

552

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Euler totient function for Gaussian integers

Published on 02 Sep 2020 - 5:37

355

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Proof of Euclidean division algorithm for the ring of Gaussian integers

Published on 05 Sep 2020 - 0:27

792

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Show that every ideal in the ring of Gaussian integers is principal

Published on 05 Sep 2020 - 18:06

132

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Modular inverse by Euler's theorem for Gaussian integers

Published on 21 Sep 2020 - 8:37

35

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Which of these integers can be written as the sum of two squares of integers?

Published on 29 Sep 2020 - 19:55

58

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Why cannot this Gaussian integer be expressed as a sum of squares?

Published on 06 Oct 2020 - 1:34

46

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Does the non-zero ideal $I=\langle a+ib\rangle$ contain no positive integers?

Published on 20 Oct 2020 - 9:13

29

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How do I find $\displaystyle {\inf\limits_{n,m} \dfrac {\deg (m)} {\deg (r)}}\ ?$

Published on 26 Oct 2020 - 17:08

List Question

Quotient ring of Gaussian integers

Units of Gaussian integers

Equivalence of two characterizations of the norm of a quadratic integer.

If $\alpha$|$\gamma$ and$\beta$|$\gamma$, then $\alpha$$\beta$|$\gamma$?

Is there a known necessary and sufficient criterion for a Gaussian Integer $a+ib$ to be prime in $\mathbb{Z}[i]$?

Prove $(7)$ is maximal in Gaussian Integers

Proving that a Gaussian integer $a+bi$ with $a,b\neq0$ is composite in $\mathbb{Z}[i]$ if its norm $a^2+b^2$ is composite in $\mathbb{N}$?

Euler totient function for Gaussian integers

Proof of Euclidean division algorithm for the ring of Gaussian integers

Show that every ideal in the ring of Gaussian integers is principal

Modular inverse by Euler's theorem for Gaussian integers

Which of these integers can be written as the sum of two squares of integers?

Why cannot this Gaussian integer be expressed as a sum of squares?

Does the non-zero ideal $I=\langle a+ib\rangle$ contain no positive integers?

How do I find $\displaystyle {\inf\limits_{n,m} \dfrac {\deg (m)} {\deg (r)}}\ ?$

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