On uniform boundedness of a rational distance set in the plane

DOI10.1016/j.crma.2012.01.010zbMath1239.14016OpenAlexW2061545969MaRDI QIDQ765735

Jafar Shaffaf, Mehdi Makhul

Publication date: 22 March 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.01.010

zbMATH Keywords

rational distance setsweak Lang conjecture

Mathematics Subject Classification ID

Rational points (14G05) Plane and space curves (14H50) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Varieties over global fields (11G35) Heights (11G50) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (4)

On the number of perfect triangles with a fixed angle ⋮ Definability of Frobenius orbits and a result on rational distance sets ⋮ A solution of the Erdős-Ulam problem on rational distance sets assuming the Bombieri-Lang conjecture ⋮ The Erdős–Ulam problem, Lang's conjecture and uniformity

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• Note on integral distances
• Points at rational distances on a parabola
• Research Problems in Discrete Geometry
• Points on 𝑦=𝑥² at rational distance
• Uniformity of rational points
• Integral distances
• Unsolved problems in number theory

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