List questions from complex-numbers

Published on 05 Jun 2018 - 19:29

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Complex inner product identity

Published on 29 Mar 2026 - 2:17

526

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Find two complex numbers such that...

Published on 06 Jun 2018 - 16:35

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How to prove $1+\cos2\theta+\cos4\theta+\cos6\theta+\cos8\theta=\frac{(\cos4\theta)(\sin5\theta)}{\sin\theta} $?

Published on 06 Jun 2018 - 18:20

580

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Complex function on circle

Published on 06 Jun 2018 - 19:34

4k

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Meaning of "Solve over the reals?"

Published on 25 Mar 2026 - 18:56

57

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There are a natural number $n$ that verify $(1/5 + i (3^{1/2})/5)^n = k$; where $k$ is a real number

Published on 26 Mar 2026 - 4:36

85

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Complex Inner Product of Vectors

Published on 26 Mar 2026 - 4:31

84

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$\mathbb{R}^n$ vs $\mathbb{C}^n$ geometric intuition

Published on 25 Mar 2026 - 16:45

178

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Find real part of $\frac{1}{1-e^{i\pi/7}}$

Published on 27 Mar 2026 - 6:07

99

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How to expand the right-hand side of $\langle x,y \rangle = \frac{1}{N} \sum_{n=0}^{N-1}\lVert x+\alpha^n y \rVert^2\alpha^n$?

Published on 29 Mar 2026 - 7:00

368

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Locate the points for which $|z-1|=|z-2|=|z-i|$.

Published on 09 Jun 2018 - 4:14

51

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Calculate $\sup_{(a,b)\in B_2(0,1)}\left\{\max(|a|,|a+b|)\right\}$

Published on 25 Mar 2026 - 23:33

51

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If $x$ is a complex number and $x^N = 1, x^2\not = 1$, is it true that $\sum_{n=0}^{N-1} x^{2n}=0$?

Published on 09 Jun 2018 - 15:04

56

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Do the known Hermite constants hold for complex-valued lattices?

Published on 22 Mar 2026 - 20:10

List Question

Do Rational Functions Act $n$-Transitively on $\mathbb{C}$?

Complex inner product identity

Find two complex numbers such that...

How to prove $1+\cos2\theta+\cos4\theta+\cos6\theta+\cos8\theta=\frac{(\cos4\theta)(\sin5\theta)}{\sin\theta} $?

Complex function on circle

Meaning of "Solve over the reals?"

There are a natural number $n$ that verify $(1/5 + i (3^{1/2})/5)^n = k$; where $k$ is a real number

Complex Inner Product of Vectors

$\mathbb{R}^n$ vs $\mathbb{C}^n$ geometric intuition

Find real part of $\frac{1}{1-e^{i\pi/7}}$

How to expand the right-hand side of $\langle x,y \rangle = \frac{1}{N} \sum_{n=0}^{N-1}\lVert x+\alpha^n y \rVert^2\alpha^n$?

Locate the points for which $|z-1|=|z-2|=|z-i|$.

Calculate $\sup_{(a,b)\in B_2(0,1)}\left\{\max(|a|,|a+b|)\right\}$

If $x$ is a complex number and $x^N = 1, x^2\not = 1$, is it true that $\sum_{n=0}^{N-1} x^{2n}=0$?

Do the known Hermite constants hold for complex-valued lattices?

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