论文标题
伪范围的Hecke Eigenform及其在极端$ 2 $模块化的晶格中的应用
Pseudo-normalized Hecke eigenform and its application to extremal $2$-modular lattices
论文作者
论文摘要
结果表明，极限$ 2 $ 2 $模块化的晶格$ 32 $和$ 48 $由其最小规范的向量产生。在证明中，我们使用归一化Hecke特征形式差异的某些属性。我们将它们称为伪归一化的Hecke特征法，其概念是在本文中引入的。
It is shown that extremal $2$-modular lattices of ranks $32$ and $48$ are generated by their vectors of minimal norm. In the proof, we use certain properties of the difference of normalized Hecke eigenforms. We refer to them as the pseudo-normalized Hecke eigenform, the concept of which is introduced in this paper.
