List questions from roots-of-unity

Published on 10 Apr 2015 - 18:12

143

Views

If $K:=\mathbb Q\left(\sqrt{-3}\right)$ and $R$ is the ring of integers of $K$, then $R^{\times}=\mathbb Z\big/6\mathbb Z$

Published on 25 Mar 2026 - 7:45

1.2k

Views

Roots of Unity for Precalculus

Published on 12 Apr 2015 - 23:14

598

Views

Precalculus Roots of Unity

Published on 14 Apr 2015 - 5:44

275

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Roots of Unity, Precalculus

Published on 15 Apr 2015 - 17:53

656

Views

solving the limit $\lim_{n\to \infty}\sum_{k=1}^n|e^{(2πik)/n}-e^{(2πi(k-1))/n}$|

Published on 20 Apr 2015 - 1:25

813

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Find the minimum polynomial of a sum of roots of unity.

Published on 22 Apr 2015 - 15:05

2.2k

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Quadratic using the roots of unity, where $\omega^7 = 1, \omega \neq 1$

Published on 27 Apr 2015 - 0:05

540

Views

Showing $\zeta_5 \notin \mathbb{Q}(\zeta_7)$

Published on 03 May 2015 - 2:27

173

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Cubic root of unity

Published on 08 May 2015 - 11:10

139

Views

A problem in understanding principal root in the complex plane.

Published on 10 May 2015 - 10:36

223

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Distinct roots of $z^n-z$

Published on 11 May 2015 - 20:48

104

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Roots of unity are distincts

Published on 12 May 2015 - 19:36

93

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Every unit in $\mathcal O_K$ is equal to a power of $\zeta$ times a real unit in $\mathcal O_K$

Published on 14 May 2015 - 12:58

739

Views

Finding a primitive fifth root of unity modulo $81$ using a specific method.

Published on 31 May 2015 - 22:25

List Question

How many distinct elements are there in $C=\{zw\mid z∈A$,$w∈B\}, z^{24}=1$ and $w^{54}=1$.

If $K:=\mathbb Q\left(\sqrt{-3}\right)$ and $R$ is the ring of integers of $K$, then $R^{\times}=\mathbb Z\big/6\mathbb Z$

Roots of Unity for Precalculus

Precalculus Roots of Unity

Roots of Unity, Precalculus

solving the limit $\lim_{n\to \infty}\sum_{k=1}^n|e^{(2πik)/n}-e^{(2πi(k-1))/n}$|

Find the minimum polynomial of a sum of roots of unity.

Quadratic using the roots of unity, where $\omega^7 = 1, \omega \neq 1$

Showing $\zeta_5 \notin \mathbb{Q}(\zeta_7)$

Cubic root of unity

A problem in understanding principal root in the complex plane.

Distinct roots of $z^n-z$

Roots of unity are distincts

Every unit in $\mathcal O_K$ is equal to a power of $\zeta$ times a real unit in $\mathcal O_K$

Finding a primitive fifth root of unity modulo $81$ using a specific method.

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