List questions from cyclotomic-polynomials

Published on 26 Mar 2026 - 9:49

94

Views

Prove that $Φ_{nm}(x) = Φ_n(x^m)$ if every prime divisor of m is also divisor of n

Published on 22 Jun 2015 - 19:03

435

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Infinitude of the primes $p\equiv1 \operatorname{mod} n$

Published on 02 Jul 2015 - 19:38

636

Views

Irreducibility of cyclotomic polynomials over number fields

Published on 06 Jul 2015 - 20:34

272

Views

A question about the degree of sin(2π/n) over the rationals

Published on 07 Jul 2015 - 5:48

372

Views

$p$-adic Euler's totient function

Published on 15 Jul 2015 - 17:30

166

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determining which cyclotomic polynomial is $x^8 -x^4+1$

Published on 18 Jul 2015 - 16:13

724

Views

What is the number of polynomial factors of $a^n-b^n$?

Published on 30 Jul 2015 - 15:29

102

Views

The largest subset of a finite cartesian product in which distinct elements differ in at least 2 components

Published on 26 Mar 2026 - 4:34

171

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$\sum_{j=0}^{n-1}z_j^k=\begin{cases} 0, & \text{if $1\leq k \leq n-1$ } \\ n, & \text{if $k=n$ } \end{cases}$

Published on 09 Aug 2015 - 19:45

83

Views

Is the longest chain of non-increasing values in this sequence related to cyclotomic polynomials unbounded?

Published on 10 Aug 2015 - 6:45

582

Views

Finding the Number of Subfields of the Splitting Field of $x^{35}-1$ over $\mathbb{F}_8$

Published on 05 Sep 2015 - 11:51

305

Views

How to think about Galois groups in a geometric way?

Published on 25 Mar 2026 - 22:26

260

Views

Splitting of primes in an extension with "unknown" ring of integers

Published on 26 Mar 2026 - 11:18

264

Views

Generator for a cyclotomic subextension

Published on 08 Oct 2015 - 13:10

List Question

Find a polynomial in $\mathbb{Z}_{41}$

Prove that $Φ_{nm}(x) = Φ_n(x^m)$ if every prime divisor of m is also divisor of n

Infinitude of the primes $p\equiv1 \operatorname{mod} n$

Irreducibility of cyclotomic polynomials over number fields

A question about the degree of sin(2π/n) over the rationals

$p$-adic Euler's totient function

determining which cyclotomic polynomial is $x^8 -x^4+1$

What is the number of polynomial factors of $a^n-b^n$?

The largest subset of a finite cartesian product in which distinct elements differ in at least 2 components

$\sum_{j=0}^{n-1}z_j^k=\begin{cases} 0, & \text{if $1\leq k \leq n-1$ } \\ n, & \text{if $k=n$ } \end{cases}$

Is the longest chain of non-increasing values in this sequence related to cyclotomic polynomials unbounded?

Finding the Number of Subfields of the Splitting Field of $x^{35}-1$ over $\mathbb{F}_8$

How to think about Galois groups in a geometric way?

Splitting of primes in an extension with "unknown" ring of integers

Generator for a cyclotomic subextension

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