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A central limit theorem for the spectrum of the modular domain

Rudnick, Z (Tel-Aviv)
Thursday 01 July 2004, 09:30-10:25

Seminar Room 1, Newton Institute


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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