List questions from complex-numbers

Published on 01 Jul 2019 - 7:54

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Expected value of absolute equal to absolute of expected value?

Published on 27 Mar 2026 - 10:44

60

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What is the correct solution of $\sqrt[7]{(-\sqrt{3}-i)^5}$?

Published on 03 Jul 2019 - 13:36

1.6k

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Complex and real span of a set of complex vectors

Published on 07 Apr 2026 - 19:32

218

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Prove that $(1+i)^{n} +(1-i)^{n}$ is Real for all $n$.

Published on 03 Jul 2019 - 18:20

209

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How to solve $z^n=\bar{z}$?

Published on 03 Jul 2019 - 18:32

70

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$4^{th}$ root of $i$ in $\mathbb{C}$

Published on 03 Jul 2019 - 21:44

42

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Find all $n \in \mathbb{Z}$ such that $\arg((-1+i)^{2n})=\frac{1}{2}\pi$ and $\arg((1-\sqrt{3}i)^{n+1})=\frac{2}{3}\pi$

Published on 03 Jul 2019 - 21:55

69

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Find all $w \in G_{28}$ such that $1 + w^2 + w^4 + w^6 =0$

Published on 26 Mar 2026 - 17:54

74

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Find all $z$ where $ z^{6} = i \overline{z} $

Published on 04 Jul 2019 - 10:08

59

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Complex number moduli inequalities

Published on 04 Jul 2019 - 12:36

501

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Logic behind Möbius transformation

Published on 25 Mar 2026 - 13:51

33

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Let $w \in G_{63}$ be a primitive root of unity. Find all $n\geq 6$ such that $\sum_{k=6}^n w^{35k} = 0$ and $w^{12n} = w^{15}$

Published on 25 Mar 2026 - 16:46

39

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Let $w=z^3|z|(1-i)\frac{\overline{z}}{2}$. Graph in the complex plane the solutions to $\Im(w)<0$, $|w|\leq 16\sqrt{2}$

Published on 05 Jul 2019 - 1:01

98

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Calculating complex roots

Published on 29 Mar 2026 - 19:07

List Question

Absolute Value of a Complex Integral

Expected value of absolute equal to absolute of expected value?

What is the correct solution of $\sqrt[7]{(-\sqrt{3}-i)^5}$?

Complex and real span of a set of complex vectors

Prove that $(1+i)^{n} +(1-i)^{n}$ is Real for all $n$.

How to solve $z^n=\bar{z}$?

$4^{th}$ root of $i$ in $\mathbb{C}$

Find all $n \in \mathbb{Z}$ such that $\arg((-1+i)^{2n})=\frac{1}{2}\pi$ and $\arg((1-\sqrt{3}i)^{n+1})=\frac{2}{3}\pi$

Find all $w \in G_{28}$ such that $1 + w^2 + w^4 + w^6 =0$

Find all $z$ where $ z^{6} = i \overline{z} $

Complex number moduli inequalities

Logic behind Möbius transformation

Let $w \in G_{63}$ be a primitive root of unity. Find all $n\geq 6$ such that $\sum_{k=6}^n w^{35k} = 0$ and $w^{12n} = w^{15}$

Let $w=z^3|z|(1-i)\frac{\overline{z}}{2}$. Graph in the complex plane the solutions to $\Im(w)<0$, $|w|\leq 16\sqrt{2}$

Calculating complex roots

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