The equation $x^2+y^2=0$ over finite fields
88036
Prove that if $p \equiv 3 \pmod{4}$ then $x^2+y^2 \not \equiv 0 \pmod{p}$
49121
Factorizing a polynomial $f$ in $A[x]$ (with $A$ commutative), where $f$ has a zero in its field of fractions
622
Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
64448
Find a quadratic equation with root $x_1^2$ and $x_2^2$
114519
An elementary question regarding a multiplicative character over finite fields
158063
A formula for the roots of a solvable polynomial
50760
Solutions to $y^2 = x^3 + k$?
134619
Galois extension with $X^4-2aX^2+b\in\mathbb Q[X]$
92677
Infinite algebraic extension of a finite field
90261
Find all solutions of the equation $n^m=x^2+py^2$ which satisfy the following properties
18203
Diophantine equation $a^2+b^2=c^2+d^2$
72023
Integer solutions of the equation $x^2+y^2+z^2 = 2xyz$
151978
Splitting field of x^3-2 as a simple extension
158933
Rational solutions of $y^2 = x^3 - x$
98387
How to solve polynomial equations in a field and/or in a ring?
94217
Solve the equation $x^n=a$ in a finite field