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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	8234-8250
Number of pages	17
Journal	International Mathematics Research Notices
Volume	2020
Issue number	22
DOIs	https://doi.org/10.1093/imrn/rny225
Publication status	Published - 1 Nov 2020

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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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Salem Numbers and the Spectrum of Hyperbolic Surfaces

Abstract

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