Poulakis, Dimitrios; Voskos, Evaggelos On the distribution of integer points of rational curves. (English) Zbl 1027.11022 Period. Math. Hung. 46, No. 1, 89-101 (2003). 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 \(C\). Reviewer: Maohua Le (Zhanjiang) MSC: 11D41 Higher degree equations; Fermat’s equation 11G30 Curves of arbitrary genus or genus \(\ne 1\) over global fields 14H25 Arithmetic ground fields for curves 14H05 Algebraic functions and function fields in algebraic geometry Keywords:Puiseux series; rational curve; integer point; distribution Citations:Zbl 0998.11014 PDFBibTeX XMLCite \textit{D. Poulakis} and \textit{E. Voskos}, Period. Math. Hung. 46, No. 1, 89--101 (2003; Zbl 1027.11022) Full Text: DOI