#### Condensed Matter Theory

### Christoph Weiss et.al.: Cumulants of partitions

**Author(s)**:**Christoph Weiss, M. Block, M. Holthaus, G. Schmieder****Title**:**Date of Upload**: 2003-12-19
**Article**:**J. Phys. A: Math. Gen. 36, 1827-1844 (2003), IoP****Keywords**: Cumulants, partitions**PACS**: 05.30.Jp, 05.30.Ch, 02.30.Mv**Abstract**:- We utilize the formal equivalence between the number-partitioning problem and a harmonically trapped ideal Bose gas within the microcanonical ensemble for characterizing the probability distribution which governs the number of addends occurring in an unrestricted partition of a natural number n. By deriving accurate asymptotic formulae for its coefficients of skewness and excess, it is shown that this distribution remains non-Gaussian even when n is made arbitrarily large. Both skewness and excess vary substantially before settling to their constant-limiting values for n > 10
^{10}. **URL: http://www.physik.uni-oldenburg.de/condmat/Papers/p_partitions.ps (application/postscript)**

**Cumulants of partitions**

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