Mitsugu Hirasaka, Zeta functions of adjacecny algebras

Zeta functions of adjacecny algebras
Mitsugu Hirasaka
Department of Mathematics,Pusan National University
2013/03/29 Fri 4PM-5PM
For a module L the formal Dirichlet series ζL(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 ζZS(s) where ZS is regarded as a ZS-module under the assumption that |X| is prime or |S|=2.


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