The Ihara-Selberg zeta function for PGL3 and hecke operators

International Journal of Mathematics

Volumn 17, Issue 2, 2006, Pages 143-155

  Deitmar, Anton ^a   Hoffman, J William ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b LOUISIANA STATE UNIVERSITY   (United States)

Author keywords

Bruhat Tits building; Geometrical zeta function; Ihara Selberg zeta function

Indexed keywords

EID: 32844471602     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X06003412     Document Type: Article

References (10)

1. H. Bass, The Ihara-Selberg zeta function of a tree lattice, Int. J. Math. 3(6) (1992) 717-797.
2. A. Borel, Introduction Aux Groupes Arithmétiques (Hermann, Paris 1969).
3. K. Brown, Buildings (Springer-Verlag, New York, 1989).
4. P. Cartier, Representations of p-adic groups: A survey, in Automorphic Forms, Representations and L-Functions (Corvallis, Oregon, 1977), Proceedings of Symposia in Pure Mathematics, Vol. 33 (American Mathematical Society, 1979), pp. 111-155.
5. A. Deitmar, Geometric zeta-functions on p-adic groups, Math. Japan. 47(1) (1998) 1-17.
6. K. Hashimoto, Zeta, functions of finite graphs and representations of p-adic groups, in Automorphic Forms and Geometry of Arithmetic Varieties, Advanced Studies in Pure Mathematics, Vol. 15 (1989), pp. 211-280.
7. K. Hashimoto, On zeta and L-functions on finite graphs, Int. J. Math. 1(4) (1990) 381-396.
8. K. Hashimoto, Artin type L-functions and the density theorem for prime cycles on finite graphs, Int. J. Math. 3(6) (1992) 809-826.
9. ℘), in Algebraic Groups and Discontinuous Subgroups (Boubler, CO, 1965), Proceedings of Symposia in Pure Mathematics, Vol. 9 (American Mathematical Society, Providence, RI, 1966), pp. 272-278.
10. H. M. Stark and A. A. Terras, Zeta, functions of finite graphs and coverings, Adv. Math. 121(1) (1996) 124-165.