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- W2131483111 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 > 1010." @default.
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- W2131483111 date "2003-02-05" @default.
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- W2131483111 title "Cumulants of partitions" @default.
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- W2131483111 doi "https://doi.org/10.1088/0305-4470/36/7/303" @default.
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