论文标题
l值的代数与四个离子模块形式相关的代数
Algebraicity of L-values attached to Quaternionic Modular Forms
论文作者
论文摘要
在本文中,我们证明了与Quaternionic模块化形式相关的一些L值的代数。我们遵循加倍方法的相当完善的路径。我们的主要贡献是,我们包括相应的对称空间非管类型的情况。我们使各个方面都非常明确,例如通过CM点的嵌入,coset分解以及模块化形式代数的定义。
In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric space is of non-tube type. We make various aspects very explicit such as, the doubling embedding, coset decomposition, and the definition of algebraicity of modular forms via CM points.