Question

Bounded subsets of $\Bbb C^2$.

score 76 · Answer 1 · 2026-04-15 19:57:05

76

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Bounded subsets of $\Bbb C^2$.

Published on 15 Apr 2026 - 19:57

score 70 · Answer 2 · 2026-04-11 08:29:19

70

Views

Equality of inner product of two complex vectors with equal norms

Published on 11 Apr 2026 - 8:29

score 52 · Answer 3 · 2026-04-14 08:04:26

52

Views

For $z, w \in \mathbb{C}$, $z \overline{w} = \overline{w \overline{z}}$.

Published on 14 Apr 2026 - 8:04

score 92 · Answer 4 · 2026-04-12 04:51:31

92

Views

Finding $\sum_{k=1}^{10}\frac{1}{z^{8k}+z^k+1}$ where $z^{11}=1$ using elementary methods.

Published on 12 Apr 2026 - 4:51

score 26 · Answer 5 · 2026-04-17 07:20:05

26

Views

If $sx+ty=1$ for some $0<s,t<1$ and $x,y\in\mathbb{C}$, can we conclude that $x,y\geq0$?

Published on 17 Apr 2026 - 7:20

score 104 · Answer 6 · 2026-03-26 06:20:23

104

Views

How can I sketch this complex number set?

Published on 26 Mar 2026 - 6:20

score 101 · Answer 7 · 2026-04-10 17:12:31

101

Views

Help With Finding The Sum of all The Square Roots of a Complex Number Equation

Published on 10 Apr 2026 - 17:12

score 91 · Answer 8 · 2026-04-15 15:26:42

How this $ \exp(i 10 \pi)^{\frac56}=\exp(\frac{i \pi}{3})$ true in the below paper ? And how is de Moivre's formula applied for non integer exponent?

score 44 · Answer 9 · 2026-04-14 10:57:12

44

Views

Can I say that $1^{\frac{1}{2}} = (e^{2i\pi})^{\frac{1}{2}} =e^{i\pi} = -1 $?

Published on 14 Apr 2026 - 10:57

score 60 · Answer 10 · 2026-04-15 12:30:16

Symmetric polynomials; $a_1,a_2,\ldots,a_n\in\Bbb{C}$ s.t. $\prod_{i=0}^n\left(a_i^k+1\right)=1,\;\forall k\in\Bbb{N}\implies a_1=\dots =a_n=0$

score 280 · Answer 11 · 2026-04-16 14:21:07

280

Views

Proof of $ \exp(2πi)^{5/6}=\exp(5πi/3)=\exp(-iπ/3)$

Published on 16 Apr 2026 - 14:21

score 35 · Answer 12 · 2026-04-15 03:15:25

35

Views

Complex Conjugate of this

Published on 15 Apr 2026 - 3:15

score 64 · Answer 13 · 2026-04-10 21:05:53

64

Views

Complex Modulus

Published on 10 Apr 2026 - 21:05

score 41 · Answer 14 · 2026-04-15 09:16:39

41

Views

Inconsistency in real analysis notes: $\mathbb{R}$ in $\mathbb{C}$

Published on 15 Apr 2026 - 9:16

score 122 · Answer 15 · 2026-04-12 15:06:07

122

Views

Quartic polynomials of a complex variable

Published on 12 Apr 2026 - 15:06

List Question

Bounded subsets of $\Bbb C^2$.

Equality of inner product of two complex vectors with equal norms

For $z, w \in \mathbb{C}$, $z \overline{w} = \overline{w \overline{z}}$.

Finding $\sum_{k=1}^{10}\frac{1}{z^{8k}+z^k+1}$ where $z^{11}=1$ using elementary methods.

If $sx+ty=1$ for some $0<s,t<1$ and $x,y\in\mathbb{C}$, can we conclude that $x,y\geq0$?

How can I sketch this complex number set?

Help With Finding The Sum of all The Square Roots of a Complex Number Equation

How this $ \exp(i 10 \pi)^{\frac56}=\exp(\frac{i \pi}{3})$ true in the below paper ? And how is de Moivre's formula applied for non integer exponent?

Can I say that $1^{\frac{1}{2}} = (e^{2i\pi})^{\frac{1}{2}} =e^{i\pi} = -1 $?

Symmetric polynomials; $a_1,a_2,\ldots,a_n\in\Bbb{C}$ s.t. $\prod_{i=0}^n\left(a_i^k+1\right)=1,\;\forall k\in\Bbb{N}\implies a_1=\dots =a_n=0$

Proof of $ \exp(2πi)^{5/6}=\exp(5πi/3)=\exp(-iπ/3)$

Complex Conjugate of this

Complex Modulus

Inconsistency in real analysis notes: $\mathbb{R}$ in $\mathbb{C}$

Quartic polynomials of a complex variable

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