## Mitsugu Hirasaka, Zeta functions of adjacecny algebras

For a module L the formal Dirichlet series $\zeta$L(s) = ∑n ≥ 1ann-s is defined whenever the number an of submodules of 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 ZS is regarded as a ZS-module under the assumption that $|X|$ is prime or $|S|=2$.