Roots of $X^2-z$ in $2$-adics
86515
Characterization of integers which has a $2$-adic square root
110416
Sums of roots of unity
78835
An automorphism of the field of $p$-adic numbers
107765
Prove that there exists two roots in $[-1,1]$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
115299
Elements of $\mathbb{F}_p$ having cube roots in $\mathbb{F}_p$
30192
How far are the $p$-adic numbers from being algebraically closed?
90273
Primitive roots of the unity in $\mathbb C$
141124
Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
74318
Find the nilpotents in $\mathbb{Z}_3[x]/(x^2-1)$
92537
Prove that $f(x)\in \mathbb{Z}[x]$ such that $f(0)$ and $f(1)$ are odd has no integer roots
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
95563
Galois group of a biquadratic quartic
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
155245
root of an odd degree polynomial
75528
$x^2-x+1$ has a root $\!\bmod p\,$ for infinitely many primes $p$
108385
Irreducible factors of $x^8 - x$ in $Z/2Z[x]$