On the distribution of integer points of rational curves (Q1416134)

Let \(F(X,Y)\in \mathbb{Z}[X,Y]\) be an absolutely irreducible polynomial. Recently, the authors gave a necessary and sufficient condition for the algebraic curve \(C:F(X,Y)=0\) to have infinitely many integer points [J. Symb. Comput. 33, 479-491 (2002; Zbl 0998.11014)]. In this paper the authors obtain an explicit estimate on the distribution of integer points of \(C\).