A+ CATEGORY SCIENTIFIC UNIT

Uniformly counting rational points on conics

Volume 166 / 2014

Efthymios Sofos Acta Arithmetica 166 (2014), 1-13 MSC: Primary 11D45; Secondary 14G05. DOI: 10.4064/aa166-1-1

Abstract

We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over $\mathbb {Q}$. The estimate is uniform in the coefficients of the underlying quadratic form.

Authors

  • Efthymios SofosSchool of Mathematics
    University of Bristol
    Bristol, BS8 1TW, United Kingdom
    e-mail

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