论文标题
矢量价值的庞加莱系列的不变
Non-vanishing of vector-valued Poincaré series
论文作者
论文摘要
我们证明了Muić在上半平面$ \ MATHCAL H $上的Muić的矢量值版本。此外，我们以庞加莱系列形式的矢量值模块化形式构建伴随的结果。作为这些结果的应用，我们构建和研究了经典和椭圆形载体价值的庞加莱系列的不变。
We prove a vector-valued version of Muić's integral non-vanishing criterion for Poincaré series on the upper half-plane $ \mathcal H $. Moreover, we give an accompanying result on the construction of vector-valued modular forms in the form of Poincaré series. As an application of these results, we construct and study the non-vanishing of the classical and elliptic vector-valued Poincaré series.
