Salem Numbers and the Spectrum of Hyperbolic Surfaces

Emmanuel Breuillard; Bertrand Deroin

doi:10.1093/imrn/rny225

Salem Numbers and the Spectrum of Hyperbolic Surfaces

Emmanuel Breuillard
, Bertrand Deroin

École Polytechnique

University of Cambridge

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We give a reformulation of Salem's conjecture about the absence of Salem numbers near one in terms of a uniform spectral gap for certain arithmetic hyperbolic surfaces.

langue originale	Anglais
Pages (de - à)	8234-8250
Nombre de pages	17
journal	International Mathematics Research Notices
Volume	2020
Numéro de publication	22
Les DOIs	https://doi.org/10.1093/imrn/rny225
état	Publié - 1 nov. 2020

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10.1093/imrn/rny225

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title = "Salem Numbers and the Spectrum of Hyperbolic Surfaces",

abstract = "We give a reformulation of Salem's conjecture about the absence of Salem numbers near one in terms of a uniform spectral gap for certain arithmetic hyperbolic surfaces.",

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AU - Deroin, Bertrand

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N2 - We give a reformulation of Salem's conjecture about the absence of Salem numbers near one in terms of a uniform spectral gap for certain arithmetic hyperbolic surfaces.

AB - We give a reformulation of Salem's conjecture about the absence of Salem numbers near one in terms of a uniform spectral gap for certain arithmetic hyperbolic surfaces.

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JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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Salem Numbers and the Spectrum of Hyperbolic Surfaces

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