Distribution of eigenvalues for the modular group

DOI10.1007/BF02099251zbMath0861.11034arXivchao-dyn/9509019MaRDI QIDQ1918076

Yanyan Li

Publication date: 12 May 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9509019

zbMATH Keywords

chaosSelberg trace formulaHardy-Littlewood methodquantum chaosdistribution of eigenvaluesmodular groupstwo-point correlation function for the energy levels

Mathematics Subject Classification ID

Quantum chaos (81Q50) Structure of modular groups and generalizations; arithmetic groups (11F06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items

Square integrals of the logarithmic derivatives of Selberg’s zeta functions in the critical strip, Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation, Maaß cusp forms for large eigenvalues, \(\mathrm{AdS}_3/\mathrm{RMT}_2\) duality, Correlations between spectra with different symmetries: any chance to be observed?, A mean value theorem for closed geodesics on congruence surfaces, Statistical properties of zeta functions' zeros, Stable multiplicities in the length spectrum of Riemann surfaces

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