论文标题
Ramanujan-Petersson和Selberg猜想的Maass形式
The Ramanujan-Petersson and Selberg conjectures for Maass forms
论文作者
论文摘要
我们在借助自动分布理论的帮助下,证明了$ sl(2,z)$的Maass形式的Ramanujan-Petersson猜想:这是经典自身型函数理论的替代方案,在该理论中,平面通常将其归因于双皮质量半平面。 Hecke的Selberg猜想也随之而来。
We prove the Ramanujan-Petersson conjecture for Maass forms of the group $SL(2,Z)$, with the help of automorphic distribution theory: this is an alternative to classical automorphic function theory, in which the plane takes the place usually ascribed to the hyperbolic half-plane. The Selberg conjecture for Hecke's group $Γ_0(M)$ follows as well.