Statistical mechanics approach in the counting of integer partitions
Mathematical Physics
2017-06-02 v1 math.MP
Number Theory
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.
Cite
@article{arxiv.1603.01049,
title = {Statistical mechanics approach in the counting of integer partitions},
author = {Andrij Rovenchak},
journal= {arXiv preprint arXiv:1603.01049},
year = {2017}
}
Comments
18 pages, 3 figures; presented at the conference "Arithmetic Methods in Mathematical Physics and Biology" (3-8 August 2014, Banach Center, B\k{e}dlewo, Poland)