A covering problem for plane lattices

✍ Scribed by Salvatore Vassallo

• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 491 KB
• Volume: 43
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00151522

✦ Synopsis

Let &a be a plane lattice and {vl, v2} a Minkowski reduced base of ~. In this note we prove that ifa convex body X has minimal width w(X')/> Iv2[ sin ~p + Ivll(x/3/2), where ~o is the acute angle between vl and v2, then X" is a covering set for ~.