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The spectrum of hyperbolic surfaces

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Author(s): Bergeron, Nicolas; Brumley, Farrell
Series: Universitext (Berlin. Print)
Publisher: Springer. copyright 2016
Year: 2016

Language: English
Pages: 370
Tags: Spectral theory (Mathematics);Selberg trace formula.;Hyperbolic spaces.;Geometry, Hyperbolic.;Théorie spectrale (mathématiques).;Hecke, Opérateurs de.;Nombres, Théorie des.

Content: Preface.- Introduction.- Arithmetic Hyperbolic Surfaces.- Spectral Decomposition.- Maass Forms.- The Trace Formula.- Multiplicity of lambda1 and the Selberg Conjecture.- L-Functions and the Selberg Conjecture.- Jacquet-Langlands Correspondence.- Arithmetic Quantum Unique Ergodicity.- Appendices.- References.- Index of notation.- Index.- Index of names.