Work

Asymptotic formulas for integer partitions within the approach of microcanonical ensemble

Year: 2012
Type: article
Abstract: 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.
Authors: Prokhorov, Rovenchak
Institution: Lviv University
Language: English
Open Access status: diamond
OpenAlex ID: W3102705271
FWCI: 0.48
Cites: 8
Cited by: 7
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