English

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

Number Theory 2015-03-13 v1

Abstract

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) >.

Keywords

Cite

@article{arxiv.0902.4165,
  title  = {On the average number of rational points on curves of genus 2},
  author = {Michael Stoll},
  journal= {arXiv preprint arXiv:0902.4165},
  year   = {2015}
}

Comments

25 pages, 5 figures