List questions from cyclotomic-polynomials

Published on 16 Feb 2013 - 17:20

497

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Cyclotomic polynomials, irreducibility

Published on 16 Feb 2013 - 19:49

479

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Cyclotomic Fields and Cyclotomic Polynomials

Published on 03 Mar 2013 - 19:30

812

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Galois group of a cyclotomic extension

Published on 16 Mar 2013 - 16:09

28

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Upper bound for coefficients of $\Phi_{pqr} (x)$

Published on 05 Aug 2020 - 21:47

131

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Understanding the roots of the irreducible factors of the 15-th cyclotomic polynomial modulo $7$

Published on 06 Aug 2020 - 1:48

105

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Understanding an observation between the 3rd and 15th cyclotomic polynomial over $\mathbb{F}_7$

Published on 06 Aug 2020 - 2:09

59

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Formula for $\Phi_{3p}(x)$

Published on 12 Aug 2020 - 9:17

32

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Find the minimal polynomial of the 18th root of unity and the Galois group of $\mathbb{Q}(z_{18})$ and its generators

Published on 26 Mar 2026 - 6:32

107

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Compute $\cos(20^\circ)\cos(40^\circ)\cos(80^\circ)$ using roots of unity .

Published on 25 Aug 2020 - 2:32

161

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Is my formula for the coefficients of $\prod_{i=1}^n (x-a_i)$ correct?

Published on 28 Aug 2020 - 9:30

60

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Is there a "nice" formula for the product $\prod_{n\neq i}(x-z_n)$ which contains all roots of unity except exactly one?

Published on 09 Sep 2020 - 10:08

314

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Are this type of cyclotomic polynomials irreducible over a finite field?

Published on 25 Sep 2020 - 7:50

292

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Is $\sum_{r=1}^nrx^{r-1}$ always irreducible (over the integers)?

Published on 24 Oct 2020 - 20:06

414

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Representation of cyclotomic polynomial over finite field with prime characteristic

Published on 10 Nov 2020 - 0:54

List Question

Explicit Galois theory computation in cyclotomic field

Cyclotomic polynomials, irreducibility

Cyclotomic Fields and Cyclotomic Polynomials

Galois group of a cyclotomic extension

Upper bound for coefficients of $\Phi_{pqr} (x)$

Understanding the roots of the irreducible factors of the 15-th cyclotomic polynomial modulo $7$

Understanding an observation between the 3rd and 15th cyclotomic polynomial over $\mathbb{F}_7$

Formula for $\Phi_{3p}(x)$

Find the minimal polynomial of the 18th root of unity and the Galois group of $\mathbb{Q}(z_{18})$ and its generators

Compute $\cos(20^\circ)\cos(40^\circ)\cos(80^\circ)$ using roots of unity .

Is my formula for the coefficients of $\prod_{i=1}^n (x-a_i)$ correct?

Is there a "nice" formula for the product $\prod_{n\neq i}(x-z_n)$ which contains all roots of unity except exactly one?

Are this type of cyclotomic polynomials irreducible over a finite field?

Is $\sum_{r=1}^nrx^{r-1}$ always irreducible (over the integers)?

Representation of cyclotomic polynomial over finite field with prime characteristic

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