Thue equation

Thue equations are Diophantine equations of the form $\sum _{i=0}^{n}{a_{i}x^{i}y^{n-i}}=c$, where $n\geq 3$ and $c\not =0$.

Axel Thue proved in 1909 that such problems have only finitely many solutions.

External links

• Thue equation. From MathWorld at Wolfram Research.