If $F$ is a finite field, prove that every function in $F^{F}$ is a polynomial function
36087
Every Function in a Finite Field is a Polynomial Function
119999
A property of every real polynomial.
13981
Proof that every polynomial of odd degree has one real root
49121
Factorizing a polynomial $f$ in $A[x]$ (with $A$ commutative), where $f$ has a zero in its field of fractions
139019
Polynomial satisfying $f(x) = f'(x) \cdot f''(x)$
79359
Show that $f$ is a polynomial if it's the uniform limit of polynomais
146506
If a complex function $f$ is Entire, and there exist $k,R > 0$, $n \in N$ such that $|f(z)| > k|z|^n$ for all $|z| > R$, then f is a polynomial.
42677
Proving $(\alpha + \beta)^{p^n} = \alpha^{p^n} + \beta^{p^n}$ in a finite field
13575
Need help for proving that: $f(f^{-1}(A)) ⊆ A$
57368
Prove that a positive polynomial function can be written as the squares of two polynomial functions
71608
A property of finite field of order $2^n$
148486
Suppose $f$ is entire and $|f(z)| \leq A + B |z|^{3/2}$. Show that $f$ is a linear polynomial.
58490
Polynomials, finite fields and cardinality/dimension considerations
33099
If $f$ is an entire function where every power series expansion has at least one 0 term, show it is a polynomial
80397
Show that this set of polynomials is ideal in F[x]
81682
Proving the algebraic set corresponding to a polynomial is infinite.
7858
Proving that $f(x)$ is irreducible over $F(b)$ if and only if $g(x)$ is irreducible over $F(a)$