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Partitions of large unbalanced bipartites

Published online by Cambridge University Press:  30 October 2014

JULIEN BUREAUX
JULIEN BUREAUX*
Affiliation:
Modal'X, Université Paris Ouest Nanterre La Défense, 200 avenue de la République, 92 000 Nanterre, France. e-mail: julien.bureaux@u-paris10.fr
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Abstract

We compute the asymptotic behaviour of the number of partitions of large vectors (n1, n2) of ℤ+2 in the critical regime n1 ≍ √n2 and in the subcritical regime n1 = o(√n2). This work completes the results established in the fifties by Auluck, Nanda and Wright.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 157 , Issue 3 , November 2014 , pp. 469 - 487
Copyright
Copyright © Cambridge Philosophical Society 2014 

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