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added 188 characters in body; added 2 characters in body; edited body

edited Jun 15, 2011 at 21:33

$$N(R)=(2\pi)^{-d}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$ where $d$ --- dimension, $V$ --- volume, $N(R)$ --- number of eigenvalues $\le R$. It works for any compact Riemannian manifold.

answered Jun 15, 2011 at 21:04

Anton Petrunin