A Siegel cusp form of degree 12 and weight 12
A Siegel cusp form of degree 12 and weight 12
复制标题
阶数为 12、权重为 12 的西格尔尖点形式
DOI：
10.1515/crll.1998.003
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
R. Weissauer
中科院分区：
文献类型：
--
作者：
R. Borcherds;E. Freitag;R. Weissauer
已知两个秩为16的幺模偶正定格的θ级数在次数上至多为3，而在次数上线性无关。在本文中，我们考虑下一个情况下的24个尼迈耶格秩24。相关的θ级数在次数上最多为11次线性相关，在次数上线性无关12次。由此产生的西格尔尖点形式的程度12和重量12是一个赫克本征形，似乎有有趣的性质。
The theta series of the two unimodular even positive definite lattices of rank 16 are known to be linearly dependent in degree at most 3 and linearly independent in degree 4. In this paper we consider the next case of the 24 Niemeier lattices of rank 24. The associated theta series are linearly dependent in degree at most 11 and linearly independent in degree 12. The resulting Siegel cusp form of degree 12 and weight 12 is a Hecke eigenform which seems to have interesting properties.