Geometric zeta-functions on p-adic groups

Abstract

Geometric zeta functions of Ihara and Hashimoto are generalized to higher rank. The $p$-adic version of the Patterson conjecture is proven.

19 pages, LATEX

Cited by in corpus (5)

• Selberg zeta functions for spaces of higher rank
• The Ihara-Selberg zeta function for PGL(3) and Hecke operators
• Combinatorial $L^2$-determinants
• Lefschetz formulae for p-adic groups
• A discrete Lefschetz formula