List questions from quadratic-integer-rings

Published on 21 Sep 2016 - 12:41

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Why is the fact that $n$ is square free important to consider?

Published on 08 Jan 2017 - 18:21

291

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The bound $\prod\limits_{i=0}^ju_i<\alpha_j<\prod\limits_{i=0}^j(u_i+1)$ not correct?

Published on 22 Jul 2023 - 13:15

59

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Prime density race : ring $A = \Bbb Z[\frac{1+\sqrt {-7}}{2}]$ vs ring $B = \Bbb Z[\frac{1+\sqrt {-11}}{2}]$?

Published on 13 Aug 2023 - 18:16

94

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The number of imaginary quadratic fields of class number 3 is finite ??

Published on 13 Aug 2023 - 19:57

35

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Irreducible density race : ring $A = \Bbb Z[\frac{1+\sqrt {-23}}{2}]$ vs ring $B = \Bbb Z[\frac{1+\sqrt {-31}}{2}]$?

Published on 13 Aug 2023 - 22:26

172

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Prove that $\mathcal{O}$ is a Euclidean Domain.

Published on 19 Sep 2023 - 21:37

235

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How do I determine ring types of quadratic integers -43,-67,-163?

Published on 25 Feb 2015 - 18:18

738

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Prime element of a quadratic integer ring

Published on 28 Feb 2015 - 21:06

312

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What is an importance of Gaussian and Eisenstein rings?

Published on 04 Mar 2015 - 0:17

8.4k

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Why is quadratic integer ring defined in that way?

Published on 20 Mar 2015 - 10:33

65

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How do I prove that $Z[w]/(a)\cong Z_{N(a)}$?

Published on 13 Apr 2015 - 4:09

518

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Enumerating Bianchi circles

Published on 23 Apr 2015 - 7:41

151

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Show that $ζ$ is a Quadratic Integer in $Q[\sqrt{−3}]$

Published on 25 Apr 2015 - 13:41

188

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Lists of negative discriminants by class group?

Published on 16 May 2015 - 6:28

List Question

Fundamental unit of the quadratic integer ring $\mathbb{Z}[\sqrt{n}]$

Why is the fact that $n$ is square free important to consider?

The bound $\prod\limits_{i=0}^ju_i<\alpha_j<\prod\limits_{i=0}^j(u_i+1)$ not correct?

Prime density race : ring $A = \Bbb Z[\frac{1+\sqrt {-7}}{2}]$ vs ring $B = \Bbb Z[\frac{1+\sqrt {-11}}{2}]$?

The number of imaginary quadratic fields of class number 3 is finite ??

Irreducible density race : ring $A = \Bbb Z[\frac{1+\sqrt {-23}}{2}]$ vs ring $B = \Bbb Z[\frac{1+\sqrt {-31}}{2}]$?

Prove that $\mathcal{O}$ is a Euclidean Domain.

How do I determine ring types of quadratic integers -43,-67,-163?

Prime element of a quadratic integer ring

What is an importance of Gaussian and Eisenstein rings?

Why is quadratic integer ring defined in that way?

How do I prove that $Z[w]/(a)\cong Z_{N(a)}$?

Enumerating Bianchi circles

Show that $ζ$ is a Quadratic Integer in $Q[\sqrt{−3}]$

Lists of negative discriminants by class group?

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