4 citations · 12 across the 18 of their papers we have counts for
8 papers · 1 filter
Zeta functions of over non-Archimedean local fields
Ming-Hsuan Kang, Jiu-Kang Yu
Let be the Bruhat--Tits building of , where is a non-Archimedean local field. We introduce geometric -geodesics in by means of…
Zeta and L-functions of finite quotients of apartments and buildings
Ming-Hsuan Kang, Wen-Ching Winnie Li, Chian-Jen Wang
In this paper, we study relations between Langlands L-functions and zeta functions of geodesic walks and galleries for finite quotients of the apartments of G=PGL3 and PGSp4 over a…
Artin L-function on PGL3
Ming-Hsaun Kang, Wen-Chien Winnie Li
We study Artin -functions on a finite -dimensional complex arising from PGL attached to finite-dimensional representations of its fundamental group. Some key pr…
Tree-lattice zeta functions and class numbers
Antonius Deitmar, Ming-Hsuan Kang
The theory of Ihara zeta functions is extended to non-compact arithmetic quotients of Bruhat-Tits trees. This new zeta function turns out to be a rational function, despite the inf…
Geometric zeta functions for higher rank p-adic groups
Anton Deitmar, Ming-Hsuan Kang
The higher rank Lefschetz formula for p-adic groups is used to prove rationality of a several-variable zeta function attached to the action of a p-adic group on its Bruhat-Tits bui…
Zeta Functions of F1-buildings
Anton Deitmar, Ming-Hsuan Kang
The analogue of the Bruhat-Tits building of a p-adic group in F1-geometry is a single apartment. In this setting, the trace formula gives rise to a several variable zeta function a…