SIEGEL THETA SERIES OF VARIOUS DEGREES FOR THE LEECH LATTICE

SIEGEL THETA SERIES OF VARIOUS DEGREES FOR THE LEECH LATTICE
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水蛭格子的不同程度的 SIEGEL THETA 系列

DOI:
10.2206/kyushujm.68.053
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发表时间:
2014
影响因子:
0.4
通讯作者:
M. Ozeki
M. Ozeki
中科院分区:
数学4区
文献类型:
--
作者:
M. Ozeki

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基于Schöneberg和Hecke建立的并被B广泛应用的偶幺模格的内积关系,Venkov,我们调整了他们的公式,以便计算与Leech晶格相关的二、三、四和五度Siegel theta系列的傅里叶系数。作为副产品,一些组合结构,如球码或协会计划,推导出系统的方式。
Standing on the inner product relations for the even unimodular lattices, which were founded by Schöneberg 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.
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