The Arithmetic of Elliptic Curves
《The Arithmetic of Elliptic Curves》 · 第 304 页 · Chapter IX,Exercises,Exercise 9.6(a)
Let $F(X,Y)\in\mathbb Z[X,Y]$ be a homogeneous polynomial of degree $d\geq3$ with nonzero discriminant. Prove that for every nonzero integer $b$, Thue's equation $F(X,Y)=b$ has only finitely many solutions $(x,y)\in\mathbb Z^2$.