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- W2080460940 abstract "Let |$X_{{Gamma }}$| be a finite 2D complex arising from |${{rm PGL}}_3$|. In this paper, we study Artin |$L$|-functions attached to finite-dimensional representations |$rho$| of the fundamental group of |$X_{{Gamma }}$|. 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 |$rho$|, generalizing the identity on zeta functions of |$X_{{Gamma }}$| obtained in [9, 10]." @default.
- W2080460940 created "2016-06-24" @default.
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- W2080460940 date "2014-12-01" @default.
- W2080460940 modified "2023-09-26" @default.
- W2080460940 title "ArtinL-Functions on Finite Quotients of PGL3" @default.
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- W2080460940 doi "https://doi.org/10.1093/imrn/rnu215" @default.
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