We give a decomposition formula for the zeta function of a group covering of a graph.
Fourth moments of grossencharakteren zeta functions
β Scribed by Peter Sarnak
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 392 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the graph X(n) that is de"ned as the "nite part of the quotient (n)!T, with T the Bruhat}Tits tree over % O ((1/ΒΉ )) and (n) the principal congruence subgroup of "GΒΈ(% We give concrete realizations of the ΒΈ-functions of the "nite part of the hal#ine !T for "nite unitary representations of
This paper generalizes Bass' work on zeta functions for uniform tree lattices. Using the theory of von Neumann algebras, machinery is developed to define the zeta function of a discrete group of automorphisms of a bounded degree tree. The main theorems relate the zeta function to determinants of ope