论文标题
Zeta在高级Teichmuller理论中起作用
Zeta functions in higher Teichmuller theory
论文作者
论文摘要
在本说明中，我们引入了Zeta功能和L功能，以供PSL（D，R）中的表面组的离散和忠实表示，对于D> = 3。这些都是众所周知的经典Selberg Zeta功能的自然概括和Fuchthsian群体的L功能，对应于Case d = 2。
In this note we introduce zeta functions and L-functions for discrete and faithful representations of surface groups in PSL(d, R), for d >= 3. These are natural generalizations of the wellknown classical Selberg zeta function and L-function for Fuchsian groups, corresponding to the case d=2.We show that these complex functions have meromorphic extensions to the entire complex plane C.
