The spectrum of the Laplace-Beltrami operator on the two-dimensional torus in adiabatic limit

Mathematics – Differential Geometry

Scientific paper

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10 pages

Scientific paper

We obtain an asymptotic formula for the eigenvalue distribution function of
the Laplace-Beltrami operator on the two-dimensional torus in the adiabatic
limit given by a Kronecker foliation. Related problems in number theory are
discussed.

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