Question

Primitive Roots of Unity and THE primtive root of unity

score 151 · Answer 1 · 2018-04-07 07:23:47

151

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Primitive Roots of Unity and THE primtive root of unity

Published on 07 Apr 2018 - 7:23

score 29 · Answer 2 · 2018-04-07 10:43:00

29

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Definition of the complex $\log^z z$ to know the solutions of $\Re \log^x x=\Im \log^x x$ when $x$ runs over the reals between $0$ and $1$

Published on 07 Apr 2018 - 10:43

score 328 · Answer 3 · 2018-04-07 10:45:29

328

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Finding complex roots of fourth degree polynomial $z^4 + 8z^3 + 16z^2 + 9$

Published on 07 Apr 2018 - 10:45

score 43 · Answer 4 · 2026-03-25 11:38:18

43

Views

Is the entire function with given condition constant?

Published on 25 Mar 2026 - 11:38

score 157 · Answer 5 · 2018-04-07 16:34:14

157

Views

Inequality for the difference of square roots of complex numbers

Published on 07 Apr 2018 - 16:34

score 146 · Answer 6 · 2026-03-25 06:04:49

146

Views

Injective restriction of entire functions

Published on 25 Mar 2026 - 6:04

score 569 · Answer 7 · 2026-03-25 07:48:01

569

Views

Prove that no order can be defined in the complex field that turns it into an ordered field.

Published on 25 Mar 2026 - 7:48

score 1.4k · Answer 8 · 2018-04-07 22:59:55

1.4k

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Power of a complex number, find $(\sqrt{3} + i)^{99}$

Published on 07 Apr 2018 - 22:59

score 61 · Answer 9 · 2018-04-08 09:57:52

61

Views

Consider the set of differential equations given by $\dot{z}=az^m\bar{z}^n$, with $z\in\mathbb{C}$. What's the phase portrait?

Published on 08 Apr 2018 - 9:57

score 2.7k · Answer 10 · 2026-03-26 14:23:00

2.7k

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Prove by induction that $(z^n)^=(z^)^n$ for all positive integers of n

Published on 26 Mar 2026 - 14:23

score 28 · Answer 11 · 2018-04-08 12:28:36

28

Views

Some unclear statement in complex analysis

Published on 08 Apr 2018 - 12:28

score 47 · Answer 12 · 2026-03-27 16:19:11

47

Views

Vector norm in $\mathbb{C}^n$

Published on 27 Mar 2026 - 16:19

score 46 · Answer 13 · 2018-04-08 13:18:26

46

Views

Power Series Example

Published on 08 Apr 2018 - 13:18

score 3.7k · Answer 14 · 2018-04-08 17:14:19

3.7k

Views

Calculating magnitude of a complex fraction

Published on 08 Apr 2018 - 17:14

score 10.3k · Answer 15 · 2018-04-08 20:32:34

10.3k

Views

What is lost when we move from reals to complex numbers?

Published on 08 Apr 2018 - 20:32

List Question

Primitive Roots of Unity and THE primtive root of unity

Definition of the complex $\log^z z$ to know the solutions of $\Re \log^x x=\Im \log^x x$ when $x$ runs over the reals between $0$ and $1$

Finding complex roots of fourth degree polynomial $z^4 + 8z^3 + 16z^2 + 9$

Is the entire function with given condition constant?

Inequality for the difference of square roots of complex numbers

Injective restriction of entire functions

Prove that no order can be defined in the complex field that turns it into an ordered field.

Power of a complex number, find $(\sqrt{3} + i)^{99}$

Consider the set of differential equations given by $\dot{z}=az^m\bar{z}^n$, with $z\in\mathbb{C}$. What's the phase portrait?

Prove by induction that $(z^n)^=(z^)^n$ for all positive integers of n

Some unclear statement in complex analysis

Vector norm in $\mathbb{C}^n$

Power Series Example

Calculating magnitude of a complex fraction

What is lost when we move from reals to complex numbers?

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