Geometric zeta functions for higher rank p-adic groups

Abstract

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 building. By specializing to certain lines one gets one-variable zeta functions, which then can be related to geometrically defined zeta functions

arXiv admin note: text overlap with arXiv:math/0505405, arXiv:math/0209383