STNB2018 (32nd edition)

A sharp result about Weyl's Law for SO(N)

Presenters

José Granados

Abstract

We give a short proof of a strong form of Weyl's law for 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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