Geometric zeta functions for higher rank p-adic groups

Anton Deitmar, Ming-Hsuan Kang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish
Pages (from-to)719-738
Number of pages20
JournalIllinois Journal of Mathematics
Volume58
Issue number3
DOIs
StatePublished - 1 Sep 2014

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