Condensed Matter Physics, 2012, vol. 15, No. 3, p. 33001:19
DOI:10.5488/CMP.15.33001
arXiv:1210.1415
Title:
Asymptotic formulas for integer partitions within the approach of microcanonical ensemble
Author(s):

D. Prokhorov
(Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., 79005 Lviv, Ukraine)
,


A. Rovenchak
(Department for Theoretical Physics, Ivan Franko National University of Lviv, 12 Drahomanov Str., 79005 Lviv, Ukraine)

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 manyboson system. For ordinary (onedimensional) partitions, the correction to the leading asymptotic is obtained. The estimate for the number of twodimensional (plane) partitions coincides with known asymptotic results.
Key words:
integer partitions, plane partition, bosonic systems
PACS:
05.30.Ch, 05.30.Jp
