The Ihara-Selberg zeta function for PGL3 and hecke operators
A weak version of the Ihara formula is proved for zeta functions attached to quotients of the Bruhat-Tits building of PGL3. This formula expresses the zeta function in terms of Hecke-operators. It is the first step towards an arithmetical interpretation of the combinatorially defined zeta function. © World Scientific Publishing Company.
Publication Source (Journal or Book title)
International Journal of Mathematics
Deitmar, A., & Hoffman, J. (2006). The Ihara-Selberg zeta function for PGL3 and hecke operators. International Journal of Mathematics, 17 (2), 143-155. https://doi.org/10.1142/S0129167X06003412