%0 Journal Article
%T Enumeration of plane partitions with a restricted number of parts
%A Andrij Rovenchak
%J Mathematics
%D 2014
%I arXiv
%R 10.1007/s11232-014-0223-5
%X In the paper, the quantum-statistical approach is used to estimate the number of restricted plane partitions of an integer $n$ with the number of parts not exceeding some finite $N$. The analogy between this number-theoretical problem and the enumeration of microstates of the ideal two-dimensional Bose-gas is used. The conjectured expression for the number of restricted plane partitions shows a good agreement between calculated and exact values for $n=10\div20$.
%U http://arxiv.org/abs/1401.4367v1