SIEGEL THETA SERIES OF VARIOUS DEGREES FOR THE LEECH LATTICE

被引：4

作者：

Ozeki, Michio ^{[1
]}

机构：

[1] Yamagata Univ, Dept Math Sci, Fac Sci, Yamagata 990, Japan

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2014年 / 68卷 / 01期

关键词：

Siegel theta series; Leech lattice; spherical codes; association scheme;

D O I：

10.2206/kyushujm.68.053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Standing on the inner product relations for the even unimodular lattices, which were founded by Schoneberg and Hecke and were extensively used by B. Venkov, we adapt their formulas so as to compute the Fourier coefficients of Siegel theta series of degrees two, three, four and five associated with the Leech lattice. As by-products some combinatorial structures, such as spherical codes or the association schemes, are deduced in a systematic way.

引用

页码：53 / 91

页数：39

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