Absolute bound for rational tuples
Problèmes ouverts — A. Dujella · 2026 · ★★★★★
Statement
Problem 3.4 (Dujella, 2026). Give an explicit absolute bound for the size of rational Diophantine tuples (assuming some plausible conjectures).
Remark. Lang's conjecture on varieties of general type implies an absolute bound for the size of rational Diophantine tuples, but it does not give an effective numerical bound in the form desired here.
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Source & credits
Origin : Andrej Dujella, Open problems on Diophantine m-tuples and elliptic curves (26 juillet 2026), Problème 3.4
Reproduit à des fins pédagogiques non commerciales, avec attribution à l'auteur. Problème de recherche ouvert : aucune solution connue à ce jour.
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