论文标题
Siegel-Jacobi模块化表格的特殊$ l $ - 价值代数
Algebraicity of special $L$-values attached to Siegel-Jacobi modular forms
论文作者
论文摘要
在这项工作中，我们获得了Siegel-Jacobi模块化表格的特殊$ L $值的代数结果。我们的方法取决于对我们先前工作中获得的雅各比组的加倍方法的概括，并介绍了Siegel-Jacobi模块化形式的几乎Holomorphy的概念。我们的某些结果还涉及全态投影，我们通过使用Siegel-JacobiPoincaré系列指数类型来获得。
In this work we obtain algebraicity results on special $L$-values attached to Siegel-Jacobi modular forms. Our method relies on a generalization of the doubling method to the Jacobi group obtained in our previous work, and on introducing a notion of near holomorphy for Siegel-Jacobi modular forms. Some of our results involve also holomorphic projection, which we obtain by using Siegel-Jacobi Poincaré series of exponential type.
