| Issue |
Europhys. Lett.
Volume 59, Number 4, August 2002
|
|
|---|---|---|
| Page(s) | 486 - 492 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2002-00133-6 | |
| Published online | 01 August 2002 | |
Asymptotics of the number partitioning distribution
Fachbereich Physik, Carl von Ossietzky Universität -
D-26111 Oldenburg, Germany
Received:
25
February
2002
Accepted:
16
May
2002
The number partitioning problem can be interpreted physically in
terms of a thermally isolated noninteracting Bose gas trapped in
a one-dimensional harmonic-oscillator potential. We exploit this
analogy to characterize, by means of a detour to the Bose gas
within the canonical ensemble, the probability distribution for
finding a specified number of summands in a randomly chosen
partition of an integer n. It is shown that this distribution
approaches its asymptotics only for 
.
PACS: 05.30.Ch – Quantum ensemble theory / 05.30.Jp – Boson systems / 02.30.Mv – Approximations and expansions
© EDP Sciences, 2002
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.