Show that all complex numbers $z \not= -1$ can be written as $z=\frac{1+it}{1-it}$
68567
Prove that every complex number with modulus 1 and is not -1, has this property
136855
Proof that $\mathbb{Z}\left[\frac{1 + \sqrt{-19}}{2}\right]$ is a PID
87848
Formal proof for $(-1) \times (-1) = 1$
109674
If $(I-T)^{-1}$ exists, can it always be written in a series representation?
54370
If $x+y+z=xyz$, prove $\frac{2x}{1-x^2}+\frac{2y}{1-y^2}+\frac{2z}{1-z^2}=\frac{2x}{1-x^2}\times\frac{2y}{1-y^2}\times\frac{2z}{1-z^2}$
104075
Cube roots of the complex numbers 1+i?
110869
Find the coefficient of $z$ in the Laurent series expansion of $\frac{e^z}{z-1}$ in ${|z| > 1}$
79808
Prove the representation of complex numbers is parallelogram
94962
For complex $z$, $|z| = 1 \implies \text{Re}\left(\frac{1-z}{1+z}\right)  = 0$
108923
What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
125719
Multiplicative inverse of a complex number.
124037
Complex prime numbers
117691
Taylor series $\frac{z^2+z}{(z-1)^2}$ at $z=-1$
34060
Laurent Series of $f(z) = \sin {\frac{1}{z}}$ at $z=0$
136961
Why does the complex equation $z=Ae^{it}+Be^{-it}$ represent an ellipse?
142076
$c$ is a complex number that satisyfing $(c+\frac{1}{c}+1)(c+\frac{1}{c}) = 1$
42165
Complex numbers and Roots of unity