Zeta functions of adjacecny algebras

Mitsugu Hirasaka

Department of Mathematics,Pusan National University

Department of Mathematics,Pusan National University

2013/03/29 Fri 4PM-5PM

For a module

*L*the formal Dirichlet series $\zeta $_{L}*(s)*= ∑_{n ≥ 1}*a*is defined whenever the number_{n}n^{-s}*a*of submodules of_{n}*L*with index*n*is finite for each positive integer*n*. For a ring*R*and a finite association scheme*(X,S)*we denote the adjacency algebra of*(X,S)*over*R*by*RS*. In this talk we aim to compute $\zeta $_{ZS}(s) where $$**Z**S is regarded as a $$**Z**S-module under the assumption that $|X|$ is prime or $|S|=2$.Tags: MitsuguHirasaka