Artin L-Functions on Finite Quotients of PGL3

Ming-Hsuan Kang, Wen Ching Winnie Li*

*Corresponding author for this work

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

Let XΓ be a finite 2D complex arising from PGL3. In this paper, we study Artin L-functions attached to finite-dimensional representations ρ of the fundamental group of XΓ. 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 ρ, generalizing the identity on zeta functions of XΓ obtained in [9, 10].

原文English
頁(從 - 到)9251-9276
頁數26
期刊International Mathematics Research Notices
2015
發行號19
DOIs
出版狀態Published - 1 一月 2015

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