Asymptotics of abelian group-partitions and associated Dirichlet series
arXiv:math/0609749
Abstract
We introduce a notion of a group-partition for a finite Abelian group, which is a generalized notion of the standard partition. To obtain asymptoticdistributions of group-partition, we study the Dirichlet series for group-partitions by employing the generating function of the plane partition.
9 pages