TL;DR
This paper derives a uniform asymptotic estimate for counting rational points of bounded height on non-singular conics over the rationals, advancing understanding of rational solutions on quadratic curves.
Contribution
It provides a uniform asymptotic formula for rational points on conics, with bounds independent of the quadratic form's coefficients.
Findings
Asymptotic estimate for rational points on conics
Uniform bounds in terms of quadratic form coefficients
Improved understanding of rational solutions on quadratic curves
Abstract
We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over the rationals. The estimate is uniform in the coefficients of the underlying quadratic form.
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