A short proof of sharp Weyl's law for the special orthogonal group Article Swipe
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Fernando Chamizo
,
José Granados
·
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1706.05160
· OA: W2710271716
YOU?
·
· 2017
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1706.05160
· OA: W2710271716
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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