JournalsjstVol. 10, No. 1pp. 311–322

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

  • Fernando Chamizo

    Universidad Autonóma de Madrid, Spain

  • José Granados

    Consejo Superior de Investigaciones Científicas, Madrid, Spain
A short proof of a sharp Weyl law for the special orthogonal group cover
Download PDF

A subscription is required to access this article.

Abstract

We give a short proof of a strong form of Weyl’s law for SO() 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.

Cite this article

Fernando Chamizo, José Granados, A short proof of a sharp Weyl law for the special orthogonal group. J. Spectr. Theory 10 (2020), no. 1, pp. 311–322

DOI 10.4171/JST/299