English

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

Analysis of PDEs 2018-01-16 v2

Abstract

We give a short proof of a strong form of Weyl's law for SO(N)\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~44. We also discuss the cases with smaller rank improving previous results.

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Cite

@article{arxiv.1706.05160,
  title  = {A short proof of sharp Weyl's law for the special orthogonal group},
  author = {Fernando Chamizo and José Granados},
  journal= {arXiv preprint arXiv:1706.05160},
  year   = {2018}
}

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7 pages