Question

Does there exist a formula for product of the primitive $ n $th roots of unity.

score 600 · Answer 1 · 2018-04-28 17:33:03

600

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Does there exist a formula for product of the primitive $ n $th roots of unity.

Published on 28 Apr 2018 - 17:33

score 90 · Answer 2 · 2026-03-21 16:18:12

90

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Question about proof of Lemma in Niven's book about irrational numbers concerning minimal polynomial of a primitive nth root of unity

Published on 21 Mar 2026 - 16:18

score 1.1k · Answer 3 · 2026-03-22 01:20:36

1.1k

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If a cyclotomic polynomial is reducible over a finite field, what does its factorisation look like?

Published on 22 Mar 2026 - 1:20

score 117 · Answer 4 · 2026-03-25 06:21:04

117

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Do you know a generalization of a formula about cyclotomic polynomial?

Published on 25 Mar 2026 - 6:21

score 974 · Answer 5 · 2026-03-22 20:53:16

974

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Product of all primitive nth roots of unity is 1?

Published on 22 Mar 2026 - 20:53

score 159 · Answer 6 · 2026-03-22 03:16:40

159

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Galois group over extension field of quotient ring based on cyclotomic polynomial

Published on 22 Mar 2026 - 3:16

score 43 · Answer 7 · 2026-03-25 12:16:32

43

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Reducibility of Cyclotomic polynomials over integers

Published on 25 Mar 2026 - 12:16

score 545 · Answer 8 · 2026-03-25 05:41:32

545

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What are the intermediate fields of $\mathbb{Q}(\sqrt[4]{2},i)/\mathbb{Q}$ of order $4$ over $\mathbb{Q}$?

Published on 25 Mar 2026 - 5:41

score 944 · Answer 9 · 2026-03-22 11:32:25

944

Views

Is there a nice general formula for $\int \frac{dx}{x^n-1}$ and/or $\int \frac{dx}{\Phi_n(x)}$?

Published on 22 Mar 2026 - 11:32

score 524 · Answer 10 · 2026-03-24 22:01:26

524

Views

Question about the Cyclotomic polynomial and Cyclotomic field.

Published on 24 Mar 2026 - 22:01

score 87 · Answer 11 · 2026-03-25 09:23:46

87

Views

On factoring polynomials whose only coefficients are 0 and 1.

Published on 25 Mar 2026 - 9:23

score 1.4k · Answer 12 · 2026-03-24 23:46:08

1.4k

Views

Root of unity belongs to Z/qZ. How?

Published on 24 Mar 2026 - 23:46

score 84 · Answer 13 · 2026-03-22 01:35:53

84

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Question on a property related to cyclotomic fields and thaine's theorem

Published on 22 Mar 2026 - 1:35

score 121 · Answer 14 · 2026-03-22 10:45:30

121

Views

Galois group of weird polynomial

Published on 22 Mar 2026 - 10:45

score 322 · Answer 15 · 2026-03-21 22:23:58

322

Views

Cyclotomic Fields are equal?

Published on 21 Mar 2026 - 22:23

List Question

Does there exist a formula for product of the primitive $ n $th roots of unity.

Question about proof of Lemma in Niven's book about irrational numbers concerning minimal polynomial of a primitive nth root of unity

If a cyclotomic polynomial is reducible over a finite field, what does its factorisation look like?

Do you know a generalization of a formula about cyclotomic polynomial?

Product of all primitive nth roots of unity is 1?

Galois group over extension field of quotient ring based on cyclotomic polynomial

Reducibility of Cyclotomic polynomials over integers

What are the intermediate fields of $\mathbb{Q}(\sqrt[4]{2},i)/\mathbb{Q}$ of order $4$ over $\mathbb{Q}$?

Is there a nice general formula for $\int \frac{dx}{x^n-1}$ and/or $\int \frac{dx}{\Phi_n(x)}$?

Question about the Cyclotomic polynomial and Cyclotomic field.

On factoring polynomials whose only coefficients are 0 and 1.

Root of unity belongs to Z/qZ. How?

Question on a property related to cyclotomic fields and thaine's theorem

Galois group of weird polynomial

Cyclotomic Fields are equal?

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