How many solutions of the equation $ax^2 +by^2 = 1$ are there with $(x, y) ∈ \mathbb{F}_{p} ×\mathbb{F}_{p}$
89590
The number of solutions of $ax^2+by^2\equiv 1\pmod{p}$ is $ p-\left(\frac{-ab}{p}\right)$
35504
The Diophantine equation $x^2 + 2 = y^3$
54430
For $a,b$ coprime, there exists positive integers $x,y$ such that $ax-by=1$
44354
Total number of solutions of an equation
946
How to find solutions of linear Diophantine ax + by = c?
42360
Find the number of solutions of $a_0+a_1+a_2=17$ if $2\le a_0\le 5$, $3\le a_1\le 6$, $4\le a_2\le 7$.
35066
Nature and number of solutions to $xy=x+y$
144851
For a prime $p \equiv 1$ or $3$ (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.
82137
Given a, b How many solutions exists for x, such that: $a \bmod{x}=b $
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
103197
number of distinct solution of Integral equation
96185
Solutions of $x^2+y^2+z^2 = n$ in $\mathbb{Z}_2$.
126820
How many positive integer solutions are there to the equality $x_1+x_2+...+x_r= n$?
151732
Number of solutions of polynomials in a field
103304
Finding the number of solutions to a diophantine equation
137015
Solutions for $a^2+b^2+c^2=d^2$
33469
Diophantine equation $ax + by = c$ has an integer solution $x_0, y_0$ if and only if $\gcd(a,b)|c$