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Semiclassical analysis of distinct square partitions

Murthy, M. V. N. ; Brack, Matthias ; Bhaduri, Rajat K. ; Bartel, Johann


We study the number P(n) of partitions of an integer n into sums of distinct squares and derive an integral representation of the function P(n). Using semiclassical and quantum statistical methods, we determine its asymptotic average part P-as(n), deriving higher-order contributions to the known leading-order expression [Tran et al.,Ann. Phys. (NY) 311, 204 (2004)], which yield a faster ...


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