%0 Journal Article %A Manjul Bhargava %A Arul Shankar %T Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0 %J Annals of mathematics %D 2015 %P 587-621 %V 181 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.181.2.4/ %R 10.4007/annals.2015.181.2.4 %G en %F 10_4007_annals_2015_181_2_4