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A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions

Tatsuya Tate
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Abstract

An asymptotic formula for the number of states of Boson gas whose Hamiltonian is given by a positive elliptic pseudo-differential operator of order one on a compact manifold is given under a integrality assumption on the spectrum of the Hamiltonian. This is regarded as an analogue of the Meinardus theorem on asymptotics of the number of partitions of a positive integer.

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Tatsuya Tate. 2007-02-28. A spectral analogue of the Meinardus theorem on asymptotics of the number of partitions. https://doi.org/10.3233/asy-2009-0973

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