標題: Artin L-Functions on Finite Quotients of PGL(3)
作者: Kang, Ming-Hsuan
Li, Wen-Ching Winnie
應用數學系
Department of Applied Mathematics
公開日期: 1-Jan-2015
摘要: 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].
URI: http://dx.doi.org/10.1093/imrn/rnu215
http://hdl.handle.net/11536/129605
ISSN: 1073-7928
DOI: 10.1093/imrn/rnu215
期刊: INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Issue: 19
起始頁: 9251
結束頁: 9276
Appears in Collections:Articles