English

Asymptotics of abelian group-partitions and associated Dirichlet series

Number Theory 2007-05-23 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.math/0609749,
  title  = {Asymptotics of abelian group-partitions and associated Dirichlet series},
  author = {Tetsuya Momotani},
  journal= {arXiv preprint arXiv:math/0609749},
  year   = {2007}
}

Comments

9 pages