论文标题
Petersson/Kuznetsov痕迹公式，并有规定的本地分歧
The Petersson/Kuznetsov trace formula with prescribed local ramifications
论文作者
论文摘要
在本文中，我们得出了精致的Petersson/Kuznetsov痕迹公式，并具有规定的局部后果。这些公式的光谱侧挑选了新的局部组件来自给定水平表示的特定子族，并且与经典版本相比要短得多。我们使用它们来研究杂种环境中某些Rankin-Selberg L功能的第一刻和亚凸度结合，与以前的工作相比，在更广泛的范围内获得了Weyl结合。
In this paper we derive refined Petersson/Kuznetsov trace formulae with prescribed local ramifications. The spectral side of these formulae picks out newforms whose associated local components come from specific sub-families of representations of given level, and are much shorter compared with the classical versions. We use them to study the first moment and the subconvexity bound of certain Rankin-Selberg L-function in a hybrid setting, obtaining Weyl bound in a wider range compared to previous works.
