Asymptotics of abelian group-partitions and associated Dirichlet series

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116667We 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 pagesNumber TheoryCombinatorics11N37; 20K01Asymptotics of abelian group-partitions and associated Dirichlet seriestext