Question

$o(z) = 28$, what is $o(z^{16})$?

score 72 · Answer 1 · 2015-11-05 17:25:15

72

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$o(z) = 28$, what is $o(z^{16})$?

Published on 05 Nov 2015 - 17:25

score 53 · Answer 2 · 2015-11-05 20:13:13

53

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Prove that function $g(n)=\zeta^{5n}$ is surjective from $\mathbb Z$ to the set of roots of unity

Published on 05 Nov 2015 - 20:13

score 389 · Answer 3 · 2015-11-07 14:07:17

389

Views

Trace of Product of Powers of $A$ and $A^\ast$

Published on 07 Nov 2015 - 14:07

score 223 · Answer 4 · 2015-11-08 19:26:40

223

Views

Trace of finite-order matrix over $\Bbb C$.

Published on 08 Nov 2015 - 19:26

score 840 · Answer 5 · 2015-11-18 20:09:02

840

Views

Finding minimum polynomial of $e^{i\pi/6 }$

Published on 18 Nov 2015 - 20:09

score 323 · Answer 6 · 2015-11-19 00:01:15

323

Views

Proving unit of quartic number field is fundamental

Published on 19 Nov 2015 - 0:01

score 74 · Answer 7 · 2015-11-19 12:48:15

74

Views

Can we write $\sqrt2$ and $2$ by using $16$. primitive roots of unity

Published on 19 Nov 2015 - 12:48

score 187 · Answer 8 · 2015-11-23 06:45:51

187

Views

If a, b, and c are real, and w is a non real cube root of unity...

Published on 23 Nov 2015 - 6:45

score 102 · Answer 9 · 2015-11-25 05:06:33

102

Views

Find the value of:$\frac{|1-z_1||1-z_2||1-z_3|\ldots|1-z_9|}{10}$where $z_k$ is the 10th root of unity

Published on 25 Nov 2015 - 5:06

score 108 · Answer 10 · 2026-03-22 12:38:54

108

Views

Does roots of L-polynomial of curve being roots of unity imply the curve is supersingular?

Published on 22 Mar 2026 - 12:38

score 53 · Answer 11 · 2015-11-28 21:05:38

53

Views

Let $\xi_{19} \in G_{19}$ be a primitive root of unity. Find $\Re\sum_{k=1}^9\xi_{19}^{k^2}$.

Published on 28 Nov 2015 - 21:05

score 158 · Answer 12 · 2015-12-02 17:40:02

158

Views

Complex Numbers Midpoint of Roots of Unity

Published on 02 Dec 2015 - 17:40

score 322 · Answer 13 · 2015-12-04 02:41:32

322

Views

What are the 4th degree roots of $1$?

Published on 04 Dec 2015 - 2:41

score 388 · Answer 14 · 2015-12-08 15:10:22

388

Views

Adding primitive $n^\text{th}$ roots of unity, where $n$ is not square-free.

Published on 08 Dec 2015 - 15:10

score 216 · Answer 15 · 2015-12-10 14:28:51

216

Views

Prove that $\cos\left(\frac{2\pi}{n}\right)+\cos\left(\frac{4\pi}{n}\right)+\ldots+\cos\left(\frac{2(n-1)\pi}{n}\right)=-1$

Published on 10 Dec 2015 - 14:28

List Question

$o(z) = 28$, what is $o(z^{16})$?

Prove that function $g(n)=\zeta^{5n}$ is surjective from $\mathbb Z$ to the set of roots of unity

Trace of Product of Powers of $A$ and $A^\ast$

Trace of finite-order matrix over $\Bbb C$.

Finding minimum polynomial of $e^{i\pi/6 }$

Proving unit of quartic number field is fundamental

Can we write $\sqrt2$ and $2$ by using $16$. primitive roots of unity

If a, b, and c are real, and w is a non real cube root of unity...

Find the value of:$\frac{|1-z_1||1-z_2||1-z_3|\ldots|1-z_9|}{10}$where $z_k$ is the 10th root of unity

Does roots of L-polynomial of curve being roots of unity imply the curve is supersingular?

Let $\xi_{19} \in G_{19}$ be a primitive root of unity. Find $\Re\sum_{k=1}^9\xi_{19}^{k^2}$.

Complex Numbers Midpoint of Roots of Unity

What are the 4th degree roots of $1$?

Adding primitive $n^\text{th}$ roots of unity, where $n$ is not square-free.

Prove that $\cos\left(\frac{2\pi}{n}\right)+\cos\left(\frac{4\pi}{n}\right)+\ldots+\cos\left(\frac{2(n-1)\pi}{n}\right)=-1$

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