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Partition Function Formalism in the Problem of Multidimensional Integer Partitions

Rovenchak A.

Computational Methods in Science and Technology

2010

Vol. 16, No. 2

187-190

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.