论文标题
SL(2)的自动形式表示上的某些L2-norms
Certain L2-norms on automorphic representations of SL(2)
论文作者
论文摘要
令$γ$为$ sl(2,\ mathbb r)$的非均匀晶格。在本文中,我们研究了$ sl(2,\ mathbb r)$的各种$ l^2 $ norms的汽车表示。我们将这些规范与表示形式定义的内在规范结合。对这些规范的比较将有助于我们以系统的方式了解$ L $ functions的增长。
Let $Γ$ be a non-uniform lattice in $SL(2, \mathbb R)$. In this paper, we study various $L^2$-norms of automorphic representations of $SL(2, \mathbb R)$. We bound these norms with intrinsic norms defined on the representation. Comparison of these norms will help us understand the growth of $L$-functions in a systematic way.