Need a proof to show all the units are satisfied $\mathbf{Z}\sqrt{2}$ is the all the integer solution in Pell equation
158356
Need a proofreading why all the units are satisfied $a^2-2b^2 =\pm1$ for $\mathbf{Z}[\sqrt{2}]$
121717
Prove that $z^2 \equiv ab\pmod p$ is solvable if and only if both or neither of $x^2 \equiv a \pmod p$, $x^2 \equiv b \pmod p$ are solvable.
95669
Solutions of $|z| = z^5$ in $\Bbb{C}$?
22840
The sum of the first $n$ squares is a square: a system of two Pell-type-equations
35691
$\mathbb Z[\sqrt 3]$ contains infinitely many units
138501
Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?
94067
How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
52658
What are the integer solutions to $a^{b^2} = b^a$ with $a, b \ge 2$
81671
Proof of identity $\sqrt {xy} = \sqrt x \sqrt y$ for $x,y \in \mathbb R^+$
40824
Complex Equation Of a Circle $|z-z_1|^2+|z-z_2|^2=k$.
11935
Is $\mathbb{Z} \left[ \frac{1+i \sqrt{7}}{2} \right]$ euclidean?
35504
The Diophantine equation $x^2 + 2 = y^3$
69234
Solving Diophantine equation $1/x^2+1/y^2=1/z^2$
111467
find all natural solution that satisfy $x^2+y^2 = 3z^2$
102553
How to show that $f(z) = f(i)$
20481
Volume enclosed by $(x^2+y^2+z^2)^2=x$
19884
The units of $\mathbb Z_4[x]$