Back to matchesWe found a matchYour institution may have access to this item. Find your institution then sign in to continue.TitleThe equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields.AuthorsBhargava, Manjul; Harron, PiperAbstractFor $n=3$, $4$, and 5, we prove that, when $S_{n}$-number fields of degree $n$ are ordered by their absolute discriminants, the lattice shapes of the rings of integers in these fields become equidistributed in the space of lattices.SubjectsLATTICE field theory; RINGS of integers; CUBIC curves; QUARTIC curves; QUINTIC curves; NUMBER theoryPublicationCompositio Mathematica, 2016, Vol 152, Issue 6, p1111ISSN0010-437XPublication typeArticleDOI10.1112/S0010437X16007260