Proving that the equation $f(z) =z^n $ has exactly n solutions in |z|<1
38568
Finding the number of zeros of $f(z) = z^n$ if $|f(z)| < 1 $ for all $z$ with $|z|=1$.
95494
Number of solutions of an arithmetic function's equation
117001
Find all solutions for $z^3 = \overline{z}$
55742
Showing that $f_{2n+1}=f_{n+1}^2+f_n^2$.
95669
Solutions of $|z| = z^5$ in $\Bbb{C}$?
42713
Solutions to the equation $ze^{a-z}=1$
142538
The number of solutions to an $n^{th}$ order differential equation.
15314
Number of solutions to $x^n \equiv 1 \mod p$
925
Prove that $F_n={n-1 \choose 0 }+{n-2 \choose 1 }+{n-3 \choose 2 }+\ldots$ where $F(n)$ is the $n$-th fibonacci number
114906
For $n \in \mathbb{N}$ and $W \leq \mathbb{F}^n$, there exists a homogeneous system of linear equations whose solution space is $W$
23866
Do there exist an infinite number of integer-solutions $(x,y,z)$ of $x^x\cdot y^y=z^z$ where $1\lt x\le y$?
65000
prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$
34308
Given $|z|<1$ prove $\lim_{n \to \infty} z^n=0$.
20705
On equations $m^2+1=5^n$
14648
Show that $f_0 - f_1 + f_2 - \cdots - f_{2n-1} + f_{2n} = f_{2n-1} - 1$ when $n$ is a positive integer
83784
Fixed Point of $x_{n+1}=i^{x_n}$
46039
Prove that if $x \in R,$ then there exists $n \in Z$ satisfying $x \leq n < x+1$