Question

Compute$\sum\limits_s\frac{s^{n+1}}{s-1}$ where the sum enumerates the $k$th roots $s$ of $2$

score 57 · Answer 1 · 2016-09-26 21:56:54

57

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Compute$\sum\limits_s\frac{s^{n+1}}{s-1}$ where the sum enumerates the $k$th roots $s$ of $2$

Published on 26 Sep 2016 - 21:56

score 326 · Answer 2 · 2016-09-30 10:00:20

326

Views

minimal polynomials of trigonometric numbers

Published on 30 Sep 2016 - 10:00

score 64 · Answer 3 · 2016-10-20 08:15:22

64

Views

Let $z = x + iy$ be a fifth root of unity. Show that the quotient y/x can only take on five distinct values, and determine those five values.

Published on 20 Oct 2016 - 8:15

score 259 · Answer 4 · 2016-10-20 10:16:01

259

Views

cube roots of unity

Published on 20 Oct 2016 - 10:16

score 92 · Answer 5 · 2016-10-21 15:56:19

92

Views

Show that product of integer polynomial values for arguments being complex roots of unity is integer.

Published on 21 Oct 2016 - 15:56

score 1.8k · Answer 6 · 2016-10-26 00:58:21

1.8k

Views

Prove that $\xi$ , the primitive 12th root of unity, is a zero of the polynomial $t^4-t^2+1$ and the other zeros are $\xi^5, \xi^7, \xi^{11}$

Published on 26 Oct 2016 - 0:58

score 758 · Answer 7 · 2016-10-31 14:34:28

758

Views

Automorphism Elliptic Curve - nth Root of Unity

Published on 31 Oct 2016 - 14:34

score 694 · Answer 8 · 2026-03-25 13:13:24

694

Views

Degrees of irreducible factors of a polynomial over finite field

Published on 25 Mar 2026 - 13:13

score 673 · Answer 9 · 2016-11-05 17:52:01

673

Views

Why are the n-th roots of unity the only subgroup of order $n$ on $S^1$

Published on 05 Nov 2016 - 17:52

score 289 · Answer 10 · 2016-11-10 21:28:47

289

Views

Help with problem: Let $w$ a 15th-primitive-root of unity. Find all $n \in \Bbb N_{<0}$ such that $\sum_{i=0}^{n-1} w^{5i}=0$

Published on 10 Nov 2016 - 21:28

score 1.2k · Answer 11 · 2016-11-11 17:41:41

1.2k

Views

Roots of unity of a quadratic field

Published on 11 Nov 2016 - 17:41

score 364 · Answer 12 · 2016-11-15 07:43:58

364

Views

Prove Associative Property of Multiplication (Fifth Roots of Unity)

Published on 15 Nov 2016 - 7:43

score 192 · Answer 13 · 2016-11-19 00:01:37

192

Views

Direct algebraic manipulation on the roots of a polynomial?

Published on 19 Nov 2016 - 0:01

score 719 · Answer 14 · 2026-03-27 16:39:50

719

Views

On the trigonometric roots of a cubic

Published on 27 Mar 2026 - 16:39

score 112 · Answer 15 · 2016-11-20 13:16:29

112

Views

On the trigonometric roots of some quintics

Published on 20 Nov 2016 - 13:16

List Question

Compute$\sum\limits_s\frac{s^{n+1}}{s-1}$ where the sum enumerates the $k$th roots $s$ of $2$

minimal polynomials of trigonometric numbers

Let $z = x + iy$ be a fifth root of unity. Show that the quotient y/x can only take on five distinct values, and determine those five values.

cube roots of unity

Show that product of integer polynomial values for arguments being complex roots of unity is integer.

Prove that $\xi$ , the primitive 12th root of unity, is a zero of the polynomial $t^4-t^2+1$ and the other zeros are $\xi^5, \xi^7, \xi^{11}$

Automorphism Elliptic Curve - nth Root of Unity

Degrees of irreducible factors of a polynomial over finite field

Why are the n-th roots of unity the only subgroup of order $n$ on $S^1$

Help with problem: Let $w$ a 15th-primitive-root of unity. Find all $n \in \Bbb N_{<0}$ such that $\sum_{i=0}^{n-1} w^{5i}=0$

Roots of unity of a quadratic field

Prove Associative Property of Multiplication (Fifth Roots of Unity)

Direct algebraic manipulation on the roots of a polynomial?

On the trigonometric roots of a cubic

On the trigonometric roots of some quintics

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