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SALEM NUMBERS AND THE SPECTRUM OF HYPERBOLIC SURFACES
- Source :
- International Mathematics Research Notices, International Mathematics Research Notices, Oxford University Press (OUP), In press
- Publication Year :
- 2020
- Publisher :
- HAL CCSD, 2020.
-
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.<br />Comment: 13 pages
- Subjects :
- Pure mathematics
Conjecture
Salem number
Mathematics - Number Theory
General Mathematics
010102 general mathematics
Spectrum (functional analysis)
Mathematics::Classical Analysis and ODEs
Cheeger constant
[MATH] Mathematics [math]
01 natural sciences
first eigenvalue of the Laplacian
Mathematics - Spectral Theory
arithmetic surfaces
0103 physical sciences
FOS: Mathematics
Spectral gap
010307 mathematical physics
Number Theory (math.NT)
[MATH]Mathematics [math]
0101 mathematics
Spectral Theory (math.SP)
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 10737928 and 16870247
- Database :
- OpenAIRE
- Journal :
- International Mathematics Research Notices, International Mathematics Research Notices, Oxford University Press (OUP), In press
- Accession number :
- edsair.doi.dedup.....a4e781b8ab3aad46d19c18d2acef95da