Problem : $(1+z)^n=(1-z)^n$ $\Rightarrow $ $Re(z) =0$
108244
Proof without solving equation that if $(1+z)^n = (1-z)^n$ then Re(z) = 0. Did I do it right?
97656
Finding $a_n$ if $a_0=a_1=1,a_{n+1}=n(a_n+a_{n-1})\ \ (n\ge 1).$
154133
Flawed proof by induction that $a^{n-1}=1$
66210
Prove that $z^n + 1/{z^n}$ is a rational number
146533
Having problems proving $ \sum_{r=0}^{n}(r+1) \binom{n}{r} = (n+2)2^{n-1} $
35034
Multiplicative inverses for $Z_n$
7466
How would I prove that if an integer $n>2$, then $\bar{z}=z^{n-1}$ has $n+1$ solutions
143281
How to solve $z^2-(1-3i)z-2i-2=0$
37650
Find $\sum_{m=0}^n\ (-1)^m m^n {n \choose m}$
37936
Solve for z^8-z^4+1 = 0
43834
Simple Complex Number Problem: $1 = -1$
130543
If $a_n = \sum\limits_{r=0}^n \binom{n}{r} b_r$, prove $(-1)^n b_n = \sum\limits_{s=0}^n \binom{n}{s} (-1)^s a_s$
92595
A problem regarding the in-equality of complex numbers .
93031
How to show that $\mathbb{Z}$ with the operation $m*n=m+(-1)^m n$ is associative?
106643
problem using identity theorem
133680
On the equation $3x^3 + 4y^3 + 5z^3 = 0$
62382
I suppose $(a,m)=(a-1,m)=1$, show that $1+a+a^2+\ldots+a^{\phi(m)-1}\equiv0\pmod m$