Salem Numbers and the Spectrum of Hyperbolic Surfaces
Copyright policy )Salem Numbers and the Spectrum of Hyperbolic Surfaces
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.
13 pages
- Centre national de la recherche scientifique France
- CY Cergy Paris University France
- French National Centre for Scientific Research France
- University of Cambridge United Kingdom
Salem number, Mathematics - Number Theory, Cheeger constant, 4904 Pure Mathematics, [MATH] Mathematics [math], first eigenvalue of the Laplacian, Mathematics - Spectral Theory, arithmetic surfaces, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, Number Theory (math.NT), Spectral Theory (math.SP)
Salem number, Mathematics - Number Theory, Cheeger constant, 4904 Pure Mathematics, [MATH] Mathematics [math], first eigenvalue of the Laplacian, Mathematics - Spectral Theory, arithmetic surfaces, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, Number Theory (math.NT), Spectral Theory (math.SP)
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