List questions from cyclotomic-polynomials

46

Views

Is the angle on on Cartesian coordinate system between dots of all complex roots of polynomial with real coefficients the same?

Published on 28 Mar 2024 - 23:04

18

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The cyclotomic polynomials satisfy $\psi_{pn}(X)= \psi_n(X^p)$ if $p|n$?

Published on 19 Mar 2026 - 5:15

29

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Why is $x^{10} -1=(x-1)(x-w)(x-w^2)...(x-w^9)$

Published on 30 Mar 2024 - 16:18

346

Views

An $n \times n$ matrix with rational entries such that $A^{n+1}=I$

Published on 11 Jan 2015 - 22:22

3.9k

Views

Cyclotomic polynomials and Galois group

Published on 30 Jan 2015 - 18:53

170

Views

quartic subfield of cyclotomic field

Published on 02 Feb 2015 - 1:29

241

Views

Bunyakovsky conjecture for cyclotomic polynomials

Published on 15 Feb 2015 - 12:54

416

Views

Cyclotomic fields: Determining the fixed field

Published on 17 Feb 2015 - 14:17

604

Views

Why do the cyclotomic cosets have the same size?

Published on 22 Feb 2015 - 13:50

141

Views

Stuck when tackling the computation of $\Phi_n(\zeta_8)$

Published on 08 Mar 2015 - 22:49

1.3k

Views

Intermediate fields for a Cyclotomic Polynomial of order $27$?

Published on 12 Mar 2015 - 19:18

82

Views

Irreducibility of cyclotomic polynomials of prime order

Published on 23 Mar 2015 - 11:13

61

Views

Why does the automorphism mapping $\omega$ to 1, not an element of Galois group

Published on 25 Mar 2015 - 22:05

417

Views

Lucas's Cyclotomic Formula

Published on 01 Apr 2015 - 12:25

78

Views

Cyclotomic polynomial, after adjoining a radical

Published on 03 Apr 2015 - 14:38

List Question

Is the angle on on Cartesian coordinate system between dots of all complex roots of polynomial with real coefficients the same?

The cyclotomic polynomials satisfy $\psi_{pn}(X)= \psi_n(X^p)$ if $p|n$?

Why is $x^{10} -1=(x-1)(x-w)(x-w^2)...(x-w^9)$

An $n \times n$ matrix with rational entries such that $A^{n+1}=I$

Cyclotomic polynomials and Galois group

quartic subfield of cyclotomic field

Bunyakovsky conjecture for cyclotomic polynomials

Cyclotomic fields: Determining the fixed field

Why do the cyclotomic cosets have the same size?

Stuck when tackling the computation of $\Phi_n(\zeta_8)$

Intermediate fields for a Cyclotomic Polynomial of order $27$?

Irreducibility of cyclotomic polynomials of prime order

Why does the automorphism mapping $\omega$ to 1, not an element of Galois group

Lucas's Cyclotomic Formula

Cyclotomic polynomial, after adjoining a radical

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