Christoph Weiss et al 2003 J. Phys. A: Math. Gen. 36 1827 doi:10.1088/0305-4470/36/7/303
Christoph Weiss1, Martin Block1, Martin Holthaus1 and Gerald Schmieder2
Show affiliationsWe 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 > 1010.
Issue 7 (21 February 2003)
Received 13 July 2002, in final form 13 November 2002
Published 5 February 2003
Christoph Weiss et al 2003 J. Phys. A: Math. Gen. 36 1827
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