Counterexamples to a conjecture of woods

Oded Regev; Uri Shapira; Barak Weiss

doi:10.1215/00127094-2017-0018

Counterexamples to a conjecture of woods

Oded Regev
, Uri Shapira
, Barak Weiss

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

9 Scopus citations

Abstract

A conjecture of Woods from 1972 is disproved: for d ≥ 30, there are well-rounded unimodular lattices in R^d with covering radius greater than that of Z^d.

Original language	English
Pages (from-to)	2443-2446
Number of pages	4
Journal	Duke Mathematical Journal
Volume	166
Issue number	13
DOIs	https://doi.org/10.1215/00127094-2017-0018
State	Published - 15 Sep 2017
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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Cite this

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title = "Counterexamples to a conjecture of woods",

abstract = "A conjecture of Woods from 1972 is disproved: for d ≥ 30, there are well-rounded unimodular lattices in Rd with covering radius greater than that of Zd.",

author = "Oded Regev and Uri Shapira and Barak Weiss",

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AU - Shapira, Uri

AU - Weiss, Barak

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N2 - A conjecture of Woods from 1972 is disproved: for d ≥ 30, there are well-rounded unimodular lattices in Rd with covering radius greater than that of Zd.

AB - A conjecture of Woods from 1972 is disproved: for d ≥ 30, there are well-rounded unimodular lattices in Rd with covering radius greater than that of Zd.

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DO - 10.1215/00127094-2017-0018

M3 - Article

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VL - 166

SP - 2443

EP - 2446

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 13

ER -

Counterexamples to a conjecture of woods

Abstract

ASJC Scopus subject areas

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