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

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

2009-02-24

arxiv.org/abs/0902.4165v1

Mathematics

Number Theory

25 pages, 5 figures

Scientific paper

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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