Question

When is a sum of consecutive roots of unity an integer

score 274 · Answer 1 · 2026-04-11 19:04:18

274

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When is a sum of consecutive roots of unity an integer

Published on 11 Apr 2026 - 19:04

score 163 · Answer 2 · 2026-04-12 18:50:14

163

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Factorization of seventh cyclotomic polynomial

Published on 12 Apr 2026 - 18:50

score 273 · Answer 3 · 2026-04-15 22:21:13

273

Views

A cyclotomic polynomial whose index has a large prime divisor cannot be too sparse

Published on 15 Apr 2026 - 22:21

score 128 · Answer 4 · 2026-04-15 04:15:35

128

Views

On even cyclotomic polynomials

Published on 15 Apr 2026 - 4:15

score 554 · Answer 5 · 2026-04-12 05:23:08

554

Views

Inertia Degree in Cyclotomic Extensions

Published on 12 Apr 2026 - 5:23

score 183 · Answer 6 · 2026-04-15 20:09:36

183

Views

product considering the period of index over a cyclotomic extension

Published on 15 Apr 2026 - 20:09

score 1.6k · Answer 7 · 2026-04-14 18:41:19

1.6k

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Norm of an element in cyclotomic extension (Exercises VI.19 Lang's Algebra)

Published on 14 Apr 2026 - 18:41

score 57 · Answer 8 · 2026-04-17 03:52:37

57

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Find a positive integer $n$ such that there is a subfield of $\mathbb{Q}_n$ that is not a cyclotomic extension of $\mathbb{Q}$

Published on 17 Apr 2026 - 3:52

score 626 · Answer 9 · 2026-04-10 16:28:46

626

Views

Finding the Extension Degree of a Cyclotomic Field

Published on 10 Apr 2026 - 16:28

score 330 · Answer 10 · 2026-04-14 08:58:38

330

Views

Irreducibility of cyclotomic polynomials via schemes

Published on 14 Apr 2026 - 8:58

score 228 · Answer 11 · 2026-04-16 19:14:26

228

Views

For $p$ prime, show that $\Phi_{p^n}(x) = 1 + x^{p^{n-1}} + x^{2p^{n-2}} + \dots +x^{(p-1)^{p^n-1}}$

Published on 16 Apr 2026 - 19:14

score 244 · Answer 12 · 2026-04-14 10:37:21

244

Views

elementary properties of cyclotomic polynomials

Published on 14 Apr 2026 - 10:37

score 253 · Answer 13 · 2026-04-14 07:17:19

253

Views

how can I find the smallest integer $n$ such that a polynomial divides $x^{n}-1$

Published on 14 Apr 2026 - 7:17

score 690 · Answer 14 · 2026-04-15 16:25:06

690

Views

If $\zeta= e^{2\pi i/7}$ then $2\cos(2\pi/7) = (\zeta+ \zeta^6)$. Find a cubic polynomial satisfied by $\zeta + \zeta^6$.

Published on 15 Apr 2026 - 16:25

score 688 · Answer 15 · 2026-04-17 00:01:12

688

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Irreducibility of $~\frac{x^{6k+2}-x+1}{x^2-x+1}~$ over $\mathbb Q[x]$

Published on 17 Apr 2026 - 0:01

List Question

When is a sum of consecutive roots of unity an integer

Factorization of seventh cyclotomic polynomial

A cyclotomic polynomial whose index has a large prime divisor cannot be too sparse

On even cyclotomic polynomials

Inertia Degree in Cyclotomic Extensions

product considering the period of index over a cyclotomic extension

Norm of an element in cyclotomic extension (Exercises VI.19 Lang's Algebra)

Find a positive integer $n$ such that there is a subfield of $\mathbb{Q}_n$ that is not a cyclotomic extension of $\mathbb{Q}$

Finding the Extension Degree of a Cyclotomic Field

Irreducibility of cyclotomic polynomials via schemes

For $p$ prime, show that $\Phi_{p^n}(x) = 1 + x^{p^{n-1}} + x^{2p^{n-2}} + \dots +x^{(p-1)^{p^n-1}}$

elementary properties of cyclotomic polynomials

how can I find the smallest integer $n$ such that a polynomial divides $x^{n}-1$

If $\zeta= e^{2\pi i/7}$ then $2\cos(2\pi/7) = (\zeta+ \zeta^6)$. Find a cubic polynomial satisfied by $\zeta + \zeta^6$.

Irreducibility of $~\frac{x^{6k+2}-x+1}{x^2-x+1}~$ over $\mathbb Q[x]$

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