List questions from cyclotomic-polynomials

Published on 31 Jan 2020 - 18:57

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Showing that the fifteenth cyclotomic polynomial is ireducible over $\mathbb{Q}$

Published on 02 Mar 2020 - 19:51

94

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Minimum polynomial of the $11^{\text{th}}$ root of unity

Published on 04 Mar 2020 - 3:21

288

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Divisors of $x^n+1$ over $\mathbb F_2$.

Published on 05 Mar 2020 - 15:33

152

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In Lemma 4.7 of AKS, why do distinct polynomials map to distinct elements modulo h(x)?

Published on 06 Mar 2020 - 2:49

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subfields of the cyclotomic fields $\mathbb{Q}(\zeta_p)$ with $p \equiv 1 [5]$

Published on 25 Mar 2026 - 8:09

113

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Cyclotomic Polynomial Recurrence Identity

Published on 15 Mar 2020 - 5:36

175

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Trouble Proving Cyclotomic Polynomial Identity

Published on 26 Mar 2020 - 3:17

67

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Why is $x-\zeta^a$ a linear factor if $x-\zeta^p$ is a linear factor of a polynomial?

Published on 26 Mar 2020 - 13:36

171

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Solving the sextic equation with 14th root of unity

Published on 30 Mar 2020 - 18:10

95

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Divisibility of Coefficient Related to Cyclotomic Integer

Published on 05 Apr 2020 - 16:10

106

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Algebraic Integers of a Field

Published on 25 Mar 2026 - 8:07

294

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Quadratic extension $\mathbb{Q}(\sqrt{5})$ inside cyclotomic field $\mathbb{Q}(\zeta_{20})$

Published on 08 Apr 2020 - 6:08

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Prove that $(1 - \omega)^{\phi(m)} = p$ where $\omega = e^{2\pi i/m}$

Published on 25 Mar 2026 - 8:09

486

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The degree of the irreducible factors of $r^{th}$ cyclotomic polynomial over a finite field.

Published on 17 Apr 2020 - 12:35

List Question

Degree of the field extension generated by $\sin(2\pi/n)$ for any natural number $n$.

Showing that the fifteenth cyclotomic polynomial is ireducible over $\mathbb{Q}$

Minimum polynomial of the $11^{\text{th}}$ root of unity

Divisors of $x^n+1$ over $\mathbb F_2$.

In Lemma 4.7 of AKS, why do distinct polynomials map to distinct elements modulo h(x)?

subfields of the cyclotomic fields $\mathbb{Q}(\zeta_p)$ with $p \equiv 1 [5]$

Cyclotomic Polynomial Recurrence Identity

Trouble Proving Cyclotomic Polynomial Identity

Why is $x-\zeta^a$ a linear factor if $x-\zeta^p$ is a linear factor of a polynomial?

Solving the sextic equation with 14th root of unity

Divisibility of Coefficient Related to Cyclotomic Integer

Algebraic Integers of a Field

Quadratic extension $\mathbb{Q}(\sqrt{5})$ inside cyclotomic field $\mathbb{Q}(\zeta_{20})$

Prove that $(1 - \omega)^{\phi(m)} = p$ where $\omega = e^{2\pi i/m}$

The degree of the irreducible factors of $r^{th}$ cyclotomic polynomial over a finite field.

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