论文标题
$ e_ {7,3} $的Ikeda类型升降机期间
Period of the Ikeda type lift for $E_{7,3}$
论文作者
论文摘要
在我们以前的工作中，他第二名和第三名作者从椭圆模块的cusp表单中为杰出组$ e_ {7,3} $构建了Ikeda类型的提升。在本文中，我们证明了Ikeda型升降机的时期或Petersson规范的明确公式，该公式根据对称平方$ l $ l $ unction的特殊值的乘积而言。 第一作者与他的合作者一起完成了类似的工作，但是需要并开发新的技术输入来克服$ e_ {7,3} $的重要性。
In our previous work, he second and the third named authors constructed the Ikeda type lift for the exceptional group $E_{7,3}$ from an elliptic modular cusp form. In this paper, we prove an explicit formula for the period or the Petersson norm of the Ikeda type lift in terms of the product of the special values of the symmetric square $L$-function of the elliptic modular form. There are similar works done by the first author with his collaborator, but new technical inputs are required and developed to overcome some difficulties coming from the hugeness of $E_{7,3}$.
