Asymptotic formulas for integer partitions within the approach of microcanonical ensemble

Condensed Matter Physics

关键词: integer partitions;    plane partition;    bosonic systems;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown