Helfgott, Harald Andrés

[["dc.bibliographiccitation.firstpage","527"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Journal of the American Mathematical Society"],["dc.bibliographiccitation.lastpage","550"],["dc.bibliographiccitation.volume","19"],["dc.contributor.author","Helfgott, Harald Andrés"],["dc.contributor.author","Venkatesh, A."],["dc.date.accessioned","2017-09-07T11:47:52Z"],["dc.date.available","2017-09-07T11:47:52Z"],["dc.date.issued","2006"],["dc.description.abstract","We give new bounds for the number of integral points on elliptic curves. The method may be said to interpolate between approaches via diophantine techniques ([BP], [HBR]) and methods based on quasiorthogonality in the Mordell-Weil lattice ([Sil6], [GS], [He]). We apply our results to break previous bounds on the number of elliptic curves of given conductor and the size of the 3-torsion part of the class group of a quadratic field. The same ideas can be used to count rational points on curves of higher genus."],["dc.identifier.doi","10.1090/s0894-0347-06-00515-7"],["dc.identifier.gro","3146787"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4590"],["dc.language.iso","en"],["dc.notes.intern","mathe"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","0894-0347"],["dc.title","Integral points on elliptic curves and 3-torsion in class groups"],["dc.type","journal_article"],["dc.type.internalPublication","no"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","224"],["dc.bibliographiccitation.lastpage","234"],["dc.contributor.author","Helfgott, Harald Andrés"],["dc.contributor.author","Venkatesh, A."],["dc.contributor.editor","Chen, W. W. L."],["dc.date.accessioned","2017-09-07T11:54:56Z"],["dc.date.available","2017-09-07T11:54:56Z"],["dc.date.issued","2009"],["dc.identifier.gro","3146565"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4347"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.publisher","Cambridge University Press"],["dc.relation.ispartof","Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday"],["dc.title","How small must ill-distributed sets be?"],["dc.type","book_chapter"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]