The formalism based on the microcanonical treatment of a many-boson system is applied to the problem in the number theory known as the partitioning of an integer. An estimation is obtained for the asymptotic behavior of the number of multidimensional partitions into sums of various powers of integers. The obtained results are shown to reproduce the known ones for linear summands.
Aug 20, 2014
Jun 27, 2014
|Partition Function Formalism in the Problem of Multidimensional Integer Partitions
|Aug 20, 2014