Partitions of large unbalanced bipartites
  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. 
Julien Bureaux (MODAL'X)
math.CO math.PR