List questions from cyclotomic-polynomials

Published on 25 Mar 2026 - 21:01

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Example of splitting of prime ideals

Published on 26 Mar 2026 - 11:07

115

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What is the minimal polynomial of $\bigotimes_{j=0}^{\infty}\mathbb{Q}(\zeta_{j})$?

Published on 16 Oct 2015 - 14:19

715

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cyclotomic polynomial $\Phi_{2n}(x)$

Published on 29 Oct 2015 - 18:38

844

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Showing 8th cyclotomic polynomial is irreducible

Published on 01 Nov 2015 - 18:22

299

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Irreducibility, Cyclotomic polynomial, How do Binomial Coefficients Simplify?

Published on 07 Mar 2026 - 5:08

73

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Erroneous calculation using self-reciprocity of cyclotomic polynomials?

Published on 26 Mar 2026 - 3:44

107

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Where is this formula about cyclotomic polynomials proved?

Published on 26 Nov 2015 - 19:32

101

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Splitting a polynomial into irreducible polynomials that all have the same degree

Published on 06 Dec 2015 - 15:02

1.9k

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Is $x^6-x^3+1$ irreducible over $\mathbb Q[x]$?

Published on 24 Mar 2026 - 21:59

147

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$\mathbb{Q}(\zeta)$ contains a unique subfield $K$ of degree $10$ over $\mathbb{Q}$?

Published on 17 Dec 2015 - 1:26

198

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Why is the sum of the ($\varphi(d)$-1)th coefficients of $\Phi_d$ equal to the ($\varphi$(n)-1)th coefficient of $\prod_{d\mid n} \Phi_d(X)$

Published on 22 Feb 2026 - 16:06

119

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Lower bound for the values of cyclotomic polynomials evualuated at integers

Published on 01 Jan 2016 - 9:03

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Proving that cyclotomic polynomials have integer coefficients

Published on 04 Feb 2016 - 2:03

123

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Any formulæ for products of consecutive cyclotomic polynomials?

Published on 21 Feb 2016 - 14:06

List Question

Show that $\frac{1-\zeta_p^k}{1-\zeta_p^j}$ is invertible in $\mathbb{Z}[\zeta_p]$

Example of splitting of prime ideals

What is the minimal polynomial of $\bigotimes_{j=0}^{\infty}\mathbb{Q}(\zeta_{j})$?

cyclotomic polynomial $\Phi_{2n}(x)$

Showing 8th cyclotomic polynomial is irreducible

Irreducibility, Cyclotomic polynomial, How do Binomial Coefficients Simplify?

Erroneous calculation using self-reciprocity of cyclotomic polynomials?

Where is this formula about cyclotomic polynomials proved?

Splitting a polynomial into irreducible polynomials that all have the same degree

Is $x^6-x^3+1$ irreducible over $\mathbb Q[x]$?

$\mathbb{Q}(\zeta)$ contains a unique subfield $K$ of degree $10$ over $\mathbb{Q}$?

Why is the sum of the ($\varphi(d)$-1)th coefficients of $\Phi_d$ equal to the ($\varphi$(n)-1)th coefficient of $\prod_{d\mid n} \Phi_d(X)$

Lower bound for the values of cyclotomic polynomials evualuated at integers

Proving that cyclotomic polynomials have integer coefficients

Any formulæ for products of consecutive cyclotomic polynomials?

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