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A note on the resonance counting function for surfaces with cusps
Published 21 May 2014 in math.SP | (1405.5445v1)
Abstract: We prove sharp upper bounds for the number of resonances in boxes of size 1 at high frequency for the Laplacian on finite volume surfaces with hyperbolic cusps. As a corollary, we obtain a Weyl asymptotic for the number of resonances in balls of size $T \to \infty$ with remainder $O(T{3/2})$.
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