%0 Journal Article
%T Asymptotic formulas for integer partitions within the approach of microcanonical ensemble
%A D. Prokhorov
%A A. Rovenchak
%J Condensed Matter Physics
%D 2012
%I Institute for Condensed Matter Physics
%X The problem of integer partitions is addressed using the microcanonical approach which is based on the analogy between this problem in the number theory and the calculation of microstates of a many-boson system. For ordinary (one-dimensional) partitions, the correction to the leading asymptotic is obtained. The estimate for the number of two-dimensional (plane) partitions coincides with known asymptotic results.
%K integer partitions
%K plane partition
%K bosonic systems
%U http://dx.doi.org/10.5488/CMP.15.33001