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We study quasinormal modes for massive scalar fields in Schwarzschild-anti-deSitter black holes. When the mass-squared is above the Breitenlohner-Freedmanbound we show that for large angular momenta, $\ell$, there exist quasinormalmodes with imaginary parts of size $\exp(-\ell/C)$. We provide an asymptoticexpansion for the real parts of the modes closest to the real axis and identifythe vanishing of certain coefficients depending on the dimension.

Quasinormal modes for Schwarzschild-AdS black holes: exponential convergence to the real axis