A Central Limit Theorem for the spectrum of the modular domain
arXiv:math-ph/0406015 · doi:10.1007/s00023-005-0227-7
Abstract
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.
Final version. Accepted for publication in Annales Henri Poincare