Complex polynomial in closed unit disk with its mod value not exceeding $1$ is only of the form $z^n$
42988
Complex polynomial and the unit circle
40041
Proof of Non-Ordering of Complex Field
136287
Separate real and imaginary part of $\arccos(z)$
157266
Can a nonzero polynomial evaluate to the zero function in a suitable infinite ring of char 0?
101299
Solving the complex polynomial
145191
Content of a polynomial
74024
Higher dimensional equivalent of complex numbers
73344
Definition of irreducible polynomial via the units of an integral domain.
121845
Quotient of polynomials, PID but not Euclidean domain?
74245
Characterizing non-constant entire functions with modulus $1$ on the unit circle
139168
Prove that there is an unique $z$ s.t. $f(z) = z$ where $z$ is a complex number
62239
For a polynomial $p(z)$, prove there exist $R>0$, such that if $|z|=R$, then $|p(z)|\geq |a_n|R^n/2$
40502
The Degree of Zero Polynomial.
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
67891
Why are there no discrete zero sets of a polynomial in two complex variables?
137218
Does there exist a polynomial $f(x)$ with real coefficients such that $f(x)^2$ has fewer nonzero coefficients than $f(x)$?
40014
A polynomial that is zero on an open set