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
Zeta Functions of Graph Coverings
β Scribed by Hirobumi Mizuno; Iwao Sato
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 123 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
We give a decomposition formula for the zeta function of a group covering of a graph.
π SIMILAR VOLUMES
The number of the isomorphism classes of n-fold coverings of a graph G is enumerated by the authors (Canad.
The number of spanning trees in a finite graph is first expressed as the derivative (at 1) of a determinant and then in terms of a zeta function. This generalizes a result of Hashimoto to non-regular graphs. ## 1998 Academic Press Let G be a finite graph. The complexity of G, denoted }, is the num
## Abstract A packing (resp. covering) β± of a normed space __X__ consisting of unit balls is called completely saturated (resp. completely reduced) if no finite set of its members can be replaced by a more numerous (resp. less numerous) set of unit balls of __X__ without losing the packing property