# Partitions of large unbalanced bipartites

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.
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Cited literature [15 references]

https://hal.archives-ouvertes.fr/hal-00940147
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Submitted on : Wednesday, October 15, 2014 - 11:02:11 AM
Last modification on : Thursday, October 21, 2021 - 3:16:05 PM
Long-term archiving on: : Friday, April 14, 2017 - 11:38:18 AM

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unbalanced-partitions (1).pdf
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### Identifiers

• HAL Id : hal-00940147, version 2
• ARXIV : 1401.8169

### Citation

Julien Bureaux. Partitions of large unbalanced bipartites. 2014. ⟨hal-00940147v2⟩

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