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A Central Limit Theorem for the spectrum of the modular domain
classification
🧮 math-ph
math.MPmath.NT
keywords
domainfluctuationsmodularspectrumcentralcertaincountingdiscrete
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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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