Question

When is a sum of consecutive roots of unity an integer

score 272 · Answer 1 · 2014-10-03 06:28:38

272

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When is a sum of consecutive roots of unity an integer

Published on 03 Oct 2014 - 6:28

score 160 · Answer 2 · 2014-10-08 23:16:19

160

Views

Factorization of seventh cyclotomic polynomial

Published on 08 Oct 2014 - 23:16

score 270 · Answer 3 · 2014-10-15 17:22:08

270

Views

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

Published on 15 Oct 2014 - 17:22

score 125 · Answer 4 · 2014-10-19 09:25:16

125

Views

On even cyclotomic polynomials

Published on 19 Oct 2014 - 9:25

score 551 · Answer 5 · 2014-10-19 20:07:37

551

Views

Inertia Degree in Cyclotomic Extensions

Published on 19 Oct 2014 - 20:07

score 180 · Answer 6 · 2014-10-21 16:31:38

180

Views

product considering the period of index over a cyclotomic extension

Published on 21 Oct 2014 - 16:31

score 1.6k · Answer 7 · 2014-11-01 13:57:25

1.6k

Views

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

Published on 01 Nov 2014 - 13:57

score 54 · Answer 8 · 2014-11-06 02:33:43

54

Views

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 06 Nov 2014 - 2:33

score 623 · Answer 9 · 2014-11-08 21:07:56

623

Views

Finding the Extension Degree of a Cyclotomic Field

Published on 08 Nov 2014 - 21:07

score 327 · Answer 10 · 2014-11-09 22:41:24

327

Views

Irreducibility of cyclotomic polynomials via schemes

Published on 09 Nov 2014 - 22:41

score 225 · Answer 11 · 2014-11-13 05:12:01

225

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 13 Nov 2014 - 5:12

score 241 · Answer 12 · 2014-11-23 22:18:25

241

Views

elementary properties of cyclotomic polynomials

Published on 23 Nov 2014 - 22:18

score 250 · Answer 13 · 2014-12-03 13:39:50

250

Views

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

Published on 03 Dec 2014 - 13:39

score 687 · Answer 14 · 2014-12-14 23:51:22

687

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 14 Dec 2014 - 23:51

score 685 · Answer 15 · 2014-12-15 11:18:00

685

Views

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

Published on 15 Dec 2014 - 11:18

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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