Statistical mechanics approach in the counting of integer partitions
arXiv:1603.01049 · 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.
18 pages, 3 figures; presented at the conference "Arithmetic Methods in Mathematical Physics and Biology" (3-8 August 2014, Banach Center, Będlewo, Poland)