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

Computer Science

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

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 (US)
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 - Sep 15 2017

ASJC Scopus subject areas

General Mathematics

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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.",

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Counterexamples to a conjecture of woods

Abstract

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