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- W598965615 abstract "In this paper we prove that there is a direct relationship between Salem numbers and translation lengths of hyperbolic elements of arithmetic hyperbolic groups that are determined by a quadratic form over a totally real number field. As an application we determine a sharp lower bound for the length of a closed geodesic in a noncompact arithmetic hyperbolic n-orbifold for each dimension n. We also discuss a short geodesic conjecture, and prove its equivalence with Lehmer's conjecture for Salem numbers." @default.
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- W598965615 date "2015-06-11" @default.
- W598965615 modified "2023-09-27" @default.
- W598965615 title "Salem numbers and arithmetic hyperbolic groups" @default.
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