New upper bounds on sphere packings II

被引：35

作者：

Cohn, Henry ^{[1
]}

机构：

[1] Microsoft Res, Redmond, WA 98052 USA

来源：

GEOMETRY & TOPOLOGY | 2002年 / 6卷

关键词：

Sphere packing; linear programming bounds; lattice; theta series; Laguerre polynomial; Bessel function;

D O I：

10.2140/gt.2002.6.329

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We continue the study of the linear programming bounds for sphere packing introduced by Cohn and Elkies. We use theta series to give another proof of the principal theorem, and present some related results and conjectures.

引用

页码：329 / 353

页数：25

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