List questions from roots-of-unity

Published on 12 Dec 2017 - 13:23

167

Views

Do there exist $2 \times 2$ matrices satisfying $XY = q YX$, $YZ = q ZY$ and $ZX = q XZ$

Published on 27 Mar 2026 - 0:10

184

Views

$\gcd(X^n - 1, nX^{n-1}) = 1$ in a field $K$ of characteristic $0$ or characteristic $p \nmid n$.

Published on 18 Dec 2017 - 22:30

247

Views

Find the sum of a series involving n roots of unity

Published on 20 Dec 2017 - 5:08

155

Views

Multiple roots for roots of unity in fields of some characteristic

Published on 25 Mar 2026 - 21:31

1.1k

Views

To show that if all roots of an integer monic polynomial have norm 1, then they are roots of 1

Published on 25 Dec 2017 - 16:07

94

Views

Property of roots of unity

Published on 29 Dec 2017 - 12:43

6.6k

Views

About the Center of the Special Linear Group $SL(n,F)$

Published on 01 Jan 2018 - 20:11

69

Views

Roots of Unity Questions

Published on 03 Jan 2018 - 5:50

281

Views

Nth roots of unity

Published on 04 Jan 2018 - 0:36

233

Views

Finding roots of polynomial using roots of unity

Published on 05 Jan 2018 - 7:11

31

Views

Do always exist roots ($\neq1$) in an algebraic closure of $K$ of $X^n-1 \in K[X]$ if $n \geq 2$ and $charK \nmid p$?

Published on 08 Jan 2018 - 19:18

2.2k

Views

Polynomials with roots of unity as roots

Published on 27 Mar 2026 - 22:03

37.1k

Views

Prove that $\prod_{k=1}^{n-1}\sin\frac{k \pi}{n} = \frac{n}{2^{n-1}}$

Published on 30 Oct 2010 - 19:30

21.9k

Views

Intuitive understanding of why the sum of nth roots of unity is $0$

Published on 13 May 2011 - 21:46

List Question

Evaluating expressions involving roots of unity

Do there exist $2 \times 2$ matrices satisfying $XY = q YX$, $YZ = q ZY$ and $ZX = q XZ$

$\gcd(X^n - 1, nX^{n-1}) = 1$ in a field $K$ of characteristic $0$ or characteristic $p \nmid n$.

Find the sum of a series involving n roots of unity

Multiple roots for roots of unity in fields of some characteristic

To show that if all roots of an integer monic polynomial have norm 1, then they are roots of 1

Property of roots of unity

About the Center of the Special Linear Group $SL(n,F)$

Roots of Unity Questions

Nth roots of unity

Finding roots of polynomial using roots of unity

Do always exist roots ($\neq1$) in an algebraic closure of $K$ of $X^n-1 \in K[X]$ if $n \geq 2$ and $charK \nmid p$?

Polynomials with roots of unity as roots

Prove that $\prod_{k=1}^{n-1}\sin\frac{k \pi}{n} = \frac{n}{2^{n-1}}$

Intuitive understanding of why the sum of nth roots of unity is $0$

Trending Questions

Popular # Hahtags

Popular Questions