{ "id": "0902.4165", "version": "v1", "published": "2009-02-24T14:57:21.000Z", "updated": "2009-02-24T14:57:21.000Z", "title": "On the average number of rational points on curves of genus 2", "authors": [ "Michael Stoll" ], "comment": "25 pages, 5 figures", "categories": [ "math.NT" ], "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) >.", "revisions": [ { "version": "v1", "updated": "2009-02-24T14:57:21.000Z" } ], "analyses": { "subjects": [ "11G30", "14G05", "14G25" ], "keywords": [ "rational points", "average number", "rational numbers", "computational evidence" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0902.4165S" } } }