Salem numbers and the spectrum of hyperbolic surfaces
Number Theory
2016-12-20 v1 Spectral Theory
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.
Cite
@article{arxiv.1612.05935,
title = {Salem numbers and the spectrum of hyperbolic surfaces},
author = {Emmanuel Breuillard and Bertrand Deroin},
journal= {arXiv preprint arXiv:1612.05935},
year = {2016}
}
Comments
13 pages