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arXiv · 1706.05160

A short proof of sharp Weyl's law for the special orthogonal group

Fernando Chamizo·José Granados
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Abstract

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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Fernando Chamizo, José Granados. 2017-06-16. A short proof of sharp Weyl's law for the special orthogonal group. https://arxiv.org/abs/1706.05160

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