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Affine curves with infinitely many integral points
Authors:Dimitrios Poulakis
Institution:Department of Mathematics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Abstract:Let $C \subset {\mathbf{A}}^{n}$ be an irreducible affine curve of (geometric) genus 0 defined by a finite family of polynomials having integer coefficients. In this note we give a necessary and sufficient condition for $C$ to possess infinitely many integer points, correcting a statement of J. H. Silverman (Theoret. Comput. Sci., 2000).

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