Statistical mechanics approach in the counting of integer partitions
Volume 109 / 2016
Banach Center Publications 109 (2016), 155-166
MSC: Primary 05A17; Secondary 11P81, 11P82.
DOI: 10.4064/bc109-0-10
Abstract
The treatment of the number-theoretical problem of integer partitions within the approach of statistical mechanics is discussed. Historical overview is given and known asymptotic results for linear and plane partitions are reproduced. From numerical analysis of restricted plane partitions an asymptotic formula is conjectured for an intermediate number of parts.
