Question

On multiplicative and additive properties of cyclotomic polynomials

score 113 · Answer 1 · 2026-03-20 11:20:56

113

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On multiplicative and additive properties of cyclotomic polynomials

Published on 20 Mar 2026 - 11:20

score 325 · Answer 2 · 2026-03-23 04:31:34

325

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Pythagorean-like equation for generalized hyperbolic function

Published on 23 Mar 2026 - 4:31

score 191 · Answer 3 · 2026-03-23 04:44:35

191

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Solving $x^2+x+1=7^n$

Published on 23 Mar 2026 - 4:44

score 64 · Answer 4 · 2026-03-22 19:12:07

64

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Question related to N-th cyclotomic polynomial, principal N-th root of unity and residue class of X

Published on 22 Mar 2026 - 19:12

score 62 · Answer 5 · 2026-03-22 22:28:24

62

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Question about the uniqueness of the $n^\text{th}$ cylclotomic polynomial?

Published on 22 Mar 2026 - 22:28

score 56 · Answer 6 · 2026-03-23 13:02:47

56

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What does $\varphi (n)$ denote in the context 'the class of $q$ modulo $n$ has order $\varphi (n)$'?

Published on 23 Mar 2026 - 13:02

score 699 · Answer 7 · 2026-03-22 13:34:20

699

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Proving the identity $\Phi_{np}(x) = \Phi_n(x^p)/\Phi_n(x)$, with $p \nmid n$

Published on 22 Mar 2026 - 13:34

score 509 · Answer 8 · 2026-03-23 02:32:18

509

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Is the image of $\Phi_n(x) \in \mathbb{Z}[x]$ in $\mathbb{F}_q[x]$ still a cyclotomic polynomial?

Published on 23 Mar 2026 - 2:32

score 2.1k · Answer 9 · 2026-03-20 12:42:30

2.1k

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Determine Minimal Polynomial of Primitive 10th Root of Unity

Published on 20 Mar 2026 - 12:42

score 94 · Answer 10 · 2026-03-23 01:40:27

94

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Let $n \geq 3$ and let $p$ be prime. Show that $\sqrt[n]{p}$ is not contained in a cyclotomic extension of $\mathbb{Q}$

Published on 23 Mar 2026 - 1:40

score 383 · Answer 11 · 2026-03-20 02:03:17

383

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Generalization of $x^n-1$ following Fermat's Little theorem

Published on 20 Mar 2026 - 2:03

score 201 · Answer 12 · 2026-03-25 10:55:27

201

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For which $m$ does a primitive $m^{th}$ root of unity have degree $2$ over $\mathbb{Q}$?

Published on 25 Mar 2026 - 10:55

score 174 · Answer 13 · 2026-03-23 06:27:55

174

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irreducible polynomial over finite field.

Published on 23 Mar 2026 - 6:27

score 278 · Answer 14 · 2026-03-22 18:22:14

278

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Show the Galois group of $f(x)=x^p - 2$ is isomorphic to $\mathbb{Z}_p$

Published on 22 Mar 2026 - 18:22

score 64 · Answer 15 · 2026-03-20 23:14:00

64

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How to program formula involving cyclotomic polynomials and Lambert series?

Published on 20 Mar 2026 - 23:14

List Question

On multiplicative and additive properties of cyclotomic polynomials

Pythagorean-like equation for generalized hyperbolic function

Solving $x^2+x+1=7^n$

Question related to N-th cyclotomic polynomial, principal N-th root of unity and residue class of X

Question about the uniqueness of the $n^\text{th}$ cylclotomic polynomial?

What does $\varphi (n)$ denote in the context 'the class of $q$ modulo $n$ has order $\varphi (n)$'?

Proving the identity $\Phi_{np}(x) = \Phi_n(x^p)/\Phi_n(x)$, with $p \nmid n$

Is the image of $\Phi_n(x) \in \mathbb{Z}[x]$ in $\mathbb{F}_q[x]$ still a cyclotomic polynomial?

Determine Minimal Polynomial of Primitive 10th Root of Unity

Let $n \geq 3$ and let $p$ be prime. Show that $\sqrt[n]{p}$ is not contained in a cyclotomic extension of $\mathbb{Q}$

Generalization of $x^n-1$ following Fermat's Little theorem

For which $m$ does a primitive $m^{th}$ root of unity have degree $2$ over $\mathbb{Q}$?

irreducible polynomial over finite field.

Show the Galois group of $f(x)=x^p - 2$ is isomorphic to $\mathbb{Z}_p$

How to program formula involving cyclotomic polynomials and Lambert series?

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