Artin L-Functions on Finite Quotients of PGL(3)

作者：Kang Ming Hsuan; Li Wen Ching Winnie^*

来源：International Mathematics Research Notices, 2015, 2015(19): 9251-9276.

DOI：10.1093/imrn/rnu215

Let XG be a finite 2D complex arising from PGL3. In this paper, we study Artin Lfunctions attached to finite- dimensional representations. of the fundamental group of XG. Some key properties, including rationality, functional equation, and invariance under induction, of these functions are proved. Moreover, using a cohomological argument, we establish a connection between the Artin L- functions and the L- function of., generalizing the identity on zeta functions of XG obtained in [ 9, 10].

• 出版日期2015
• 单位清华大学