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individ
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Top posts

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4
When is $f(a,b)=\frac{a^2+b^2}{1+ab}$ a perfect square rational number?
Sep 20, 2016
3
How to describe all integer solutions to $x^2+y^2=z^3+1$?
Jun 26, 2025
3
Size of set of integers with all sums of two distinct elements giving squares
Nov 13, 2021
3
Rational solutions of the Fermat equation $X^n+Y^n+Z^n=1$
Dec 15, 2015
3
Solution to a Diophantine equation
Jul 11, 2017
2
Does the Diophantine equation $(x^2+ay^2)(u^2+bv^2) = p^2+cq^2$ admit a complete solution?
Oct 2, 2014
2
Fricke Klein method for isotropic ternary quadratic forms
Dec 13, 2015
2
When is $f(a,b)=\frac{a^2+b^2}{1+ab}$ a perfect square rational number?
Sep 18, 2016
1
What is known about a^2 + b^2 = c^2 + d^2
Mar 5, 2014
1
Is there an algorithm to solve quadratic Diophantine equations?
Mar 5, 2014

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15
If $n = a^2 + b^2 + c^2$ for positive integers $a$, $b$,$c$, show that there exist positive integers $x$, $y$, $z$ such that $n^2 = x^2 + y^2 + z^2$.
10
Find a solution: $3(x^2+y^2+z^2)=10(xy+yz+zx)$
8
How to find all rational solutions of $\ x^2 + 3y^2 = 7 $?
7
$x^2+y^2=2z^2$, positive integer solutions
6
Integer solutions for $\frac{1}{x^2}+\frac{1}{y^2}=\frac{1}{z^2}$?