The equation $-1 = x^2 + y^2$ in finite fields
129755
Weighted sum of squares, in a finite field
71756
diophantine equation: $x^2 +y^2 = z^n$
1001
Number of integer solutions of $x^2 + y^2 = k$
77763
Proof that the equation $x^2 - 3y^2 = 1$ has infinite solutions for $x$ and $y$ being integers
64448
Find a quadratic equation with root $x_1^2$ and $x_2^2$
9422
Computing the Galois group of polynomials $x^n-a \in \mathbb{Q}[x]$
136933
Which $n$ can be expressed as $x^2 − y^2$?
114489
Solving $x^p + y^p = p^z$ in positive integers $x,y,z$ and a prime $p$
133164
Rational solutions for $x^2+y^2=3$
8276
How do I get my equation to have the form $(x-a)^2 + (y-b)^2 + (z-c)^2-d = 0$?
42677
Proving $(\alpha + \beta)^{p^n} = \alpha^{p^n} + \beta^{p^n}$ in a finite field
10760
Why is the product of all units of a finite field equal to $-1$?
139436
Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem
120215
Sum of elements of a finite field
113386
Find all integer roots of: $x^2(y-1)+y^2(x-1)=1$
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
154610
Number of solutions for the given equation in finite field of order 32.