Question

What is the relationship between Cyclotomic Field Extensions and Circles?

score 108 · Answer 1 · 2026-03-25 13:05:01

108

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What is the relationship between Cyclotomic Field Extensions and Circles?

Published on 25 Mar 2026 - 13:05

score 211 · Answer 2 · 2016-11-22 19:46:40

211

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7 roots of unity in finite field with characteristic two

Published on 22 Nov 2016 - 19:46

score 23 · Answer 3 · 2016-12-01 11:08:11

23

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Compute the characteristic of $R = Z[j]/(2-5j),$ where $j^3 = 1$ and $j^2 \ne 1.$

Published on 01 Dec 2016 - 11:08

score 72 · Answer 4 · 2016-12-02 13:45:53

72

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How to find zerodivisor in a ring?

Published on 02 Dec 2016 - 13:45

score 1.5k · Answer 5 · 2016-12-02 17:05:56

1.5k

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Primitive $6^{th}$ root of unity

Published on 02 Dec 2016 - 17:05

score 989 · Answer 6 · 2016-12-04 16:49:58

989

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If $ \alpha_i, i=0,1,2...n-1 $ be the nth roots of unity, the $\sum_{i=0}^{n-1} \frac{\alpha_i}{3- \alpha_i}$ is equal to?

Published on 04 Dec 2016 - 16:49

score 81 · Answer 7 · 2016-12-07 15:01:59

81

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Why $a_o + a_1 \omega ... + a_{p-1} \omega^{p-1} = 0$ implies that $a_0 = a_1 = ... = a_{p-1}.$

Published on 07 Dec 2016 - 15:01

score 73 · Answer 8 · 2016-12-11 01:26:21

73

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Find $\sum_{i=0}^{k-1}w^{in}$ in terms of $n \in \Bbb N$ being $w \in \Bbb C$ a k-th primitive root of unity.

Published on 11 Dec 2016 - 1:26

score 1.3k · Answer 9 · 2016-12-13 01:15:15

1.3k

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Solve for z in form a+bi

Published on 13 Dec 2016 - 1:15

score 1.7k · Answer 10 · 2016-12-21 08:07:12

1.7k

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Primitive roots of unity in p adic integers

Published on 21 Dec 2016 - 8:07

score 1.1k · Answer 11 · 2016-12-23 20:41:52

1.1k

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How to express a power series in closed form

Published on 23 Dec 2016 - 20:41

score 1.4k · Answer 12 · 2026-03-25 23:37:23

1.4k

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Another problem in primitive roots of unity in p adic integers

Published on 25 Mar 2026 - 23:37

score 1k · Answer 13 · 2017-01-04 14:41:19

1k

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Why is 1 = $e^{2k{\pi}i}$ when solving nth root's of unity?

Published on 04 Jan 2017 - 14:41

score 2k · Answer 14 · 2017-01-09 02:41:25

2k

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Why are all finite subgroups of the group $S^1$ of complex roots of unity cyclic?

Published on 09 Jan 2017 - 2:41

score 106 · Answer 15 · 2017-01-11 05:15:50

106

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If $n>3$ prove that $\sum_{k=0}^{n-1} (k-n)\cos\frac{2k\pi}{n}=\frac{n}{2}$.

Published on 11 Jan 2017 - 5:15

List Question

What is the relationship between Cyclotomic Field Extensions and Circles?

7 roots of unity in finite field with characteristic two

Compute the characteristic of $R = Z[j]/(2-5j),$ where $j^3 = 1$ and $j^2 \ne 1.$

How to find zerodivisor in a ring?

Primitive $6^{th}$ root of unity

If $ \alpha_i, i=0,1,2...n-1 $ be the nth roots of unity, the $\sum_{i=0}^{n-1} \frac{\alpha_i}{3- \alpha_i}$ is equal to?

Why $a_o + a_1 \omega ... + a_{p-1} \omega^{p-1} = 0$ implies that $a_0 = a_1 = ... = a_{p-1}.$

Find $\sum_{i=0}^{k-1}w^{in}$ in terms of $n \in \Bbb N$ being $w \in \Bbb C$ a k-th primitive root of unity.

Solve for z in form a+bi

Primitive roots of unity in p adic integers

How to express a power series in closed form

Another problem in primitive roots of unity in p adic integers

Why is 1 = $e^{2k{\pi}i}$ when solving nth root's of unity?

Why are all finite subgroups of the group $S^1$ of complex roots of unity cyclic?

If $n>3$ prove that $\sum_{k=0}^{n-1} (k-n)\cos\frac{2k\pi}{n}=\frac{n}{2}$.

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