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individ
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4 votes

When is $f(a,b)=\frac{a^2+b^2}{1+ab}$ a perfect square rational number?

3 votes

Rational solutions of the Fermat equation $X^n+Y^n+Z^n=1$

3 votes

Solution to a Diophantine equation

3 votes

Size of set of integers with all sums of two distinct elements giving squares

2 votes

When is $f(a,b)=\frac{a^2+b^2}{1+ab}$ a perfect square rational number?

2 votes

Fricke Klein method for isotropic ternary quadratic forms

2 votes

What is known about a^2 + b^2 = c^2 + d^2

1 vote

How many integer points does my favorite ellipse go through?

1 vote

Does the Diophantine equation $(x^2+ay^2)(u^2+bv^2) = p^2+cq^2$ admit a complete solution?

1 vote

Parametric solutions of Pell's equation

1 vote

Isotropic ternary forms

1 vote

Indefinite quadratic form universal over negative integers

1 vote

Sum of two consecutive squares equals difference of two consecutive cubes

1 vote

All the integer solutions of a certain semi-algebraic system

1 vote

Diophantine equation: $n^2=c(4ab-a-b)-b$?

1 vote

Solve in integers: $y(x^2+1)=z^2+1$

1 vote

Question on a crucial lemma in Euler's approach to Fermat's Last Theorem for $n=3$

0 votes

A Pell like equation

0 votes

How are such sets of natural numbers called?

0 votes

Is it possible that $(a,b,c)$, $(x,y,a)$, $(p,q,b)$ are Pythagorean triples simultaneously?

0 votes
Accepted

Quadratic Diophantine equation in $\mathbb Z[T]$

0 votes

Special arithmetic progressions involving perfect squares

0 votes

On certain solutions of a quadratic form equation

0 votes

Isotropic ternary forms

0 votes

solutions to special diophantine equations

0 votes

If $~(c - b) ^ 2 + 3cb = a^3~$ has nonzero integer solutions, then $~(a,c) \gt 1~$ or $~(b,c) \gt 1$?

0 votes

Is there an algorithm to solve quadratic Diophantine equations?

-1 votes

Pythagorean 5-tuples

-1 votes

General integer solution for $x^2+y^2-z^2=\pm 1$

-1 votes

solution of the equation $a^2+pb^2-2c^2-2kcd+(p+k^2)d^2=0$