Question

Find minimal polynomial for a period of 11th root of unity

score 269 · Answer 1 · 2017-05-17 12:11:44

269

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Find minimal polynomial for a period of 11th root of unity

Published on 17 May 2017 - 12:11

score 89 · Answer 2 · 2026-03-25 23:52:22

89

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When is a product of sums of roots of unity an integer?

Published on 25 Mar 2026 - 23:52

score 253 · Answer 3 · 2026-03-27 13:48:19

253

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How can I see $\Phi_{p^r}(x)=(x^{p^{r-1}})^{p-1}+(x^{p^{r-1}})^{p-2}+\cdots+(x^{p^{r-1}})+1$ and is irreducible?

Published on 27 Mar 2026 - 13:48

score 81 · Answer 4 · 2017-05-22 02:33:50

81

Views

Why there may not be a $n$-th primitive root in splitting fields of $x^n-1$ of positive characteristic?

Published on 22 May 2017 - 2:33

score 26 · Answer 5 · 2026-03-26 14:34:39

26

Views

Is there a term for a set of eigenvalues not containing any roots of unity except 1?

Published on 26 Mar 2026 - 14:34

score 2.3k · Answer 6 · 2017-05-27 07:29:32

2.3k

Views

Solving $z^5=-16+16\sqrt3i$ using the fifth roots of unity

Published on 27 May 2017 - 7:29

score 350 · Answer 7 · 2017-05-28 07:42:23

350

Views

Finding the roots of the polynomial $z^{12} = (z+2)^{12}$, where $z$ is a complex number, by using the $12$ roots of unity.

Published on 28 May 2017 - 7:42

score 97 · Answer 8 · 2026-03-28 23:59:46

97

Views

Can $\sqrt{3}$ be written as a polynomial expression in $\sqrt[3]{3}$ and $\zeta_3$

Published on 28 Mar 2026 - 23:59

score 67 · Answer 9 · 2026-03-25 23:52:32

67

Views

How many ﬁelds are there strictly between $\Bbb Q(\zeta)$ and $\Bbb Q(\zeta^3)$

Published on 25 Mar 2026 - 23:52

score 84 · Answer 10 · 2017-06-07 10:13:28

84

Views

Can $\sqrt[3]{2}$ be expressed as a linear combination of roots of unity?

Published on 07 Jun 2017 - 10:13

score 76 · Answer 11 · 2017-06-13 09:39:01

76

Views

Evaluating a series of rational functions by hand or using generating functions

Published on 13 Jun 2017 - 9:39

score 511 · Answer 12 · 2017-06-17 06:33:05

511

Views

Prove or disprove $\frac{1}{5}(3-4i)$ is a root of unity.

Published on 17 Jun 2017 - 6:33

score 97 · Answer 13 · 2017-06-19 19:27:10

97

Views

About $n$'th rooth of $-1$ in a finite field

Published on 19 Jun 2017 - 19:27

score 247 · Answer 14 · 2017-06-27 07:01:29

247

Views

Linear Combination of Roots of Unity Equal to Zero?

Published on 27 Jun 2017 - 7:01

score 1.9k · Answer 15 · 2017-07-04 21:44:22

1.9k

Views

There is a field $\Bbb F$ such that the equation $x^2=1$ have more than two solutions (for some $x\in\Bbb F$)?

Published on 04 Jul 2017 - 21:44

List Question

Find minimal polynomial for a period of 11th root of unity

When is a product of sums of roots of unity an integer?

How can I see $\Phi_{p^r}(x)=(x^{p^{r-1}})^{p-1}+(x^{p^{r-1}})^{p-2}+\cdots+(x^{p^{r-1}})+1$ and is irreducible?

Why there may not be a $n$-th primitive root in splitting fields of $x^n-1$ of positive characteristic?

Is there a term for a set of eigenvalues not containing any roots of unity except 1?

Solving $z^5=-16+16\sqrt3i$ using the fifth roots of unity

Finding the roots of the polynomial $z^{12} = (z+2)^{12}$, where $z$ is a complex number, by using the $12$ roots of unity.

Can $\sqrt{3}$ be written as a polynomial expression in $\sqrt[3]{3}$ and $\zeta_3$

How many ﬁelds are there strictly between $\Bbb Q(\zeta)$ and $\Bbb Q(\zeta^3)$

Can $\sqrt[3]{2}$ be expressed as a linear combination of roots of unity?

Evaluating a series of rational functions by hand or using generating functions

Prove or disprove $\frac{1}{5}(3-4i)$ is a root of unity.

About $n$'th rooth of $-1$ in a finite field

Linear Combination of Roots of Unity Equal to Zero?

There is a field $\Bbb F$ such that the equation $x^2=1$ have more than two solutions (for some $x\in\Bbb F$)?

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