Physics – Mathematical Physics
Scientific paper
2004-06-08
Physics
Mathematical Physics
Final version. Accepted for publication in Annales Henri Poincare
Scientific paper
10.1007/s00023-005-0227-7
We study the fluctuations in the discrete spectrum of the hyperbolic
Laplacian for the modular domain using smooth counting functions. We show that
in a certain regime, these have Gaussian fluctuations.
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