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

Author(s): Bhargava, Manjul; Harron, Piper

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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.
Publication Date: Jun-2016
Electronic Publication Date: 15-Apr-2016
Citation: Bhargava, Manjul, Harron, Piper. (2016). The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields. COMPOSITIO MATHEMATICA, 152 (1111 - 1120). doi:10.1112/S0010437X16007260
DOI: doi:10.1112/S0010437X16007260
ISSN: 0010-437X
EISSN: 1570-5846
Pages: 1111 - 1120
Type of Material: Journal Article
Journal/Proceeding Title: COMPOSITIO MATHEMATICA
Version: Author's manuscript



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