On the spectrum of the Hecke groups

DOI10.1215/S0012-7094-85-05212-3zbMath0564.30030OpenAlexW2005353767MaRDI QIDQ1058015

Ralph S. Phillips, Peter C. Sarnak

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05212-3

zbMATH Keywords

eigenvaluelimit setHausdorff dimensionLaplacianHecke group

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Zeta functions and periodic orbit theory: A review ⋮ On the spectral gap for infinite index ``congruence subgroups of \(SL_2(\mathbb{Z})\) ⋮ On the spectral gap for infinite index ``congruence subgroups of SL\(_2(\mathbb{Z})\)

Cites Work

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• The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups
• The limit set of a Fuchsian group
• The exponent of convergence of Poincaré series
• Convexity of domain functionals
• The Exponent of Convergence of Poincaré Series