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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