List questions from cyclotomic-polynomials

Published on 14 Mar 2023 - 15:06

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Intermediate Fields of $\mathbb{Q}(\zeta_{16})$ and Corresponding Splitting Polynomials

Published on 21 Mar 2023 - 5:22

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Find a Galois extension whose Galois group is $\mathbb{Z}_4 \times \mathbb{Z}_4$

Published on 23 Mar 2023 - 13:36

79

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Show that $Tr(A)$ is in the spectrum of $A+I$

Published on 25 Mar 2026 - 23:39

67

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Polynomials of the form $X^n-c$

Published on 15 Apr 2023 - 22:02

75

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For $f \in \mathbb{Q}[x]$, does there necessarily exist $a \in \mathbb{Z}$ such that $af \in \mathbb{Z}[x]$ and is primitive?

Published on 15 Apr 2023 - 22:12

82

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Cyclotomic Polynomials and The Existence of Infinite Prime Power

Published on 26 Apr 2023 - 1:15

155

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Using cyclotomic polynomials to show a polynomial is irreducible over $\mathbb{Q}$

Published on 14 May 2023 - 1:28

57

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A prime $\mathcal{P}$ dividing $\mathbb{Q}(\zeta)$ divides $\Phi_{m}(\alpha)$

Published on 25 Mar 2026 - 17:52

66

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Compute Intermediate Extensions of $\Bbb Q[\zeta]/\Bbb Q$.

Published on 25 Mar 2026 - 16:21

26

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Impact of plaintext modulus overflow in (B)FV homomorphic encryption

Published on 26 Mar 2026 - 9:16

31

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Primitive root of unity of irreducible factor of cyclotomic polynomial over finite field

Published on 02 Oct 2023 - 13:44

43

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An efficient algorithm for factorising cyclotomic polynomial over a finite field

Published on 18 Oct 2023 - 13:07

53

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Bounds for cyclotomic polynomials?

Published on 08 Nov 2023 - 9:47

60

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Find $n$ that satisfies $\Phi_p(x)=C(x)^2+(-1)^{\frac{n+1}{2}}n\cdot D(x)^2$

Published on 11 Nov 2023 - 2:16

List Question

Frobenius automorphism modulo power of prime

Intermediate Fields of $\mathbb{Q}(\zeta_{16})$ and Corresponding Splitting Polynomials

Find a Galois extension whose Galois group is $\mathbb{Z}_4 \times \mathbb{Z}_4$

Show that $Tr(A)$ is in the spectrum of $A+I$

Polynomials of the form $X^n-c$

For $f \in \mathbb{Q}[x]$, does there necessarily exist $a \in \mathbb{Z}$ such that $af \in \mathbb{Z}[x]$ and is primitive?

Cyclotomic Polynomials and The Existence of Infinite Prime Power

Using cyclotomic polynomials to show a polynomial is irreducible over $\mathbb{Q}$

A prime $\mathcal{P}$ dividing $\mathbb{Q}(\zeta)$ divides $\Phi_{m}(\alpha)$

Compute Intermediate Extensions of $\Bbb Q[\zeta]/\Bbb Q$.

Impact of plaintext modulus overflow in (B)FV homomorphic encryption

Primitive root of unity of irreducible factor of cyclotomic polynomial over finite field

An efficient algorithm for factorising cyclotomic polynomial over a finite field

Bounds for cyclotomic polynomials?

Find $n$ that satisfies $\Phi_p(x)=C(x)^2+(-1)^{\frac{n+1}{2}}n\cdot D(x)^2$

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