@article{133fb7eed382405fa50b97a9ce5aa208,
title = "The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields",
abstract = "For n= 3, 4 and 5, we prove that, when Sn-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.",
keywords = "equidistribution, lattice shapes, number fields",
author = "Manjul Bhargava and Piper Harron",
note = "Funding Information: We are extremely grateful to Rob Harron, Wei Ho, Hendrik Lenstra, Melanie Matchett Wood, Peter Sarnak, and Arul Shankar for many helpful conversations. It is also a pleasure to thank the Packard Foundation and the National Science Foundation (grant DMS-1001828) for their kind support. Publisher Copyright: {\textcopyright} 2016 The Authors.",
year = "2016",
month = jun,
day = "1",
doi = "10.1112/S0010437X16007260",
language = "English (US)",
volume = "152",
pages = "1111--1120",
journal = "Compositio Mathematica",
issn = "0010-437X",
publisher = "Cambridge University Press",
number = "6",
}