A short proof of sharp Weyl's law for the special orthogonal group
/ Authors
/ 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.
Journal: arXiv: Analysis of PDEs