KIAS Workshop on Combinatorics
Zeta functions of adjacency algebras of association schemes
SPEAKER | Mitsugu Hirasaka
INSTITUTE | Pusan National University
DATE | May 31(Fri), 2013
TIME | 10:20
PLACE | Conference room 1503, KIAS
ABSTRACT | For a module L which has only finitely many submodules with a given finite index we define the zeta function of L to be a formal Dirichlet series ¥æL(s)=¢²n¡Ã1 an n-s where an is the number of submodules of L with index n. For a commutative ring R and an association scheme (X,S) we denote the adjacency algebra of (X,S) over R by RS. In this talk we aim to compute ¥æZS(s) under several assumptions where ZS is viewed as a regular ZS-module.