Partitions of large unbalanced bipartites - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year :

Partitions of large unbalanced bipartites

Julien Bureaux
  • Function : Author
  • PersonId : 951928

Abstract

We compute the asymptotic behaviour of the number of partitions of large vectors $(n_1,n_2)$ of $\mathbb{Z}_+^2$ in the critical regime $n_1 \asymp \sqrt{n_2}$ and in the subcritical regime $n_1 = o(\sqrt{n_2})$. This work completes the results established in the fifties by Auluck, Nanda, and Wright.
Fichier principal
Vignette du fichier
unbalanced-partitions (1).pdf (426.25 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00940147 , version 1 (31-01-2014)
hal-00940147 , version 2 (15-10-2014)

Licence

Copyright

Identifiers

Cite

Julien Bureaux. Partitions of large unbalanced bipartites. 2014. ⟨hal-00940147v2⟩
135 View
129 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More