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

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

2007-02-28

arxiv.org/abs/math/0702857v2

Mathematics

Functional Analysis

Introduction has rewritten. In particular, the assumption in the main theorem has been changed. The assumption of main theorem

Scientific paper

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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