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The distribution of rational points on conics

Volume 209 / 2023

D. R. Heath-Brown Acta Arithmetica 209 (2023), 91-128 MSC: Primary 11D45; Secondary 11D09, 11E08, 14G05. DOI: 10.4064/aa220325-2-8 Published online: 8 September 2023

Abstract

We examine the counting function for rational points on conics, and show how the point where the asymptotic behaviour begins depends on the size of the smallest zero.

Authors

  • D. R. Heath-BrownMathematical Institute
    University of Oxford
    Radcliffe Observatory Quarter
    Oxford, OX2 6GG, UK
    e-mail

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