Asymptotics of abelian group-partitions and associated Dirichlet series

Tetsuya Momotani

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arXiv · math/0609749

Asymptotics of abelian group-partitions and associated Dirichlet series

Tetsuya Momotani

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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.

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Tetsuya Momotani. 2006-09-27. Asymptotics of abelian group-partitions and associated Dirichlet series. https://arxiv.org/abs/math/0609749

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