A short proof of sharp Weyl's law for the special orthogonal group
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proofranksharpshortweylcasesdiscusserror
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We give a short proof of a strong form of Weyl's law for $\text{SO}(N)$ using well known facts of the theory of modular forms. The exponent of the error term is sharp when the rank is at least~$4$. We also discuss the cases with smaller rank improving previous results.
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