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arxiv: 0902.4165 · v1 · pith:DKTE2XLNnew · submitted 2009-02-24 · 🧮 math.NT

On the average number of rational points on curves of genus 2

classification 🧮 math.NT
keywords rationalcurvesgenusnumberpointsaveragecoefficientscomputational
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Based on computational evidence, we formulate a number of conjectures on the distribution of rational points on curves of genus 2 over the rational numbers, in terms of the size of the coefficients of an equation of the form y^2 = f(x) >.

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