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An upper bound for the number of $S$-integral points on curves of genus zero

Volume 168 / 2022

Dimitrios Poulakis Colloquium Mathematicum 168 (2022), 141-147 MSC: Primary 11G30; Secondary 11D41, 14G25, 14H25. DOI: 10.4064/cm8345-4-2021 Published online: 24 November 2021

Abstract

We consider affine plane algebraic curves of genus zero defined over number fields with three discrete valuations at infinity, and we determine an upper bound for the number of their $S$-integral points.

Authors

  • Dimitrios PoulakisDepartment of Mathematics
    Aristotle University of Thessaloniki
    54124 Thessaloniki, Greece
    e-mail

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