A central limit theorem for the spectrum of the modular domain

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Bibliographic Details
Published inAnnales Henri Poincaré Vol. 6; no. 5; pp. 863 - 883
Main Author RUDNICK, Zeév
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.10.2005
Subjects
Algebra
Exact sciences and technology
Limit theorems
Mathematics
Nonlinear dynamics and nonlinear dynamical systems
Number theory
Physics
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Semiclassical chaos ("quantum chaos")
Statistical physics, thermodynamics, and nonlinear dynamical systems
Modular domain
Riemann manifold
Gaussian fluctuation
Central limit theorem
Quantum chaos
Smooth function
Counting function
Eigenvalue
Statistics
Number theory
Spectrum
Laplace manifold
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ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-005-0227-7