The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields

Manjul Bhargava; Piper Harron

doi:10.1112/S0010437X16007260

The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields

Manjul Bhargava, Piper Harron

Mathematics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

For 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.

Original language	English (US)
Pages (from-to)	1111-1120
Number of pages	10
Journal	Compositio Mathematica
Volume	152
Issue number	6
DOIs	https://doi.org/10.1112/S0010437X16007260
State	Published - Jun 1 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

equidistribution
lattice shapes
number fields

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10.1112/S0010437X16007260

Cite this

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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.",

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AU - Bhargava, Manjul

AU - Harron, Piper

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N2 - 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.

AB - 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.

KW - equidistribution

KW - lattice shapes

KW - number fields

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The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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