Asymptotics of abelian group-partitions and associated Dirichlet series

Details Asymptotics of abelian group-partitions and associated Dirichlet series Asymptotics of abelian group-partitions and associated Dirichlet series

2006-09-27

arxiv.org/abs/math/0609749v1

Mathematics

Number Theory

9 pages

Scientific paper

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.

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