An orthogonality relation for a thin family of $GL(3)$ Maass forms

Abstract

We prove an orthogonality relation for the Fourier-Whittaker coefficients of a thin family of $GL(3)$ Maass forms containing all self-dual forms. This is obtained by analysing the Kuznetsov trace formula on $GL(3)$ for a certain family of test functions. The method also yields Weyl's law for the same family of Maass forms.

References in corpus (1)

• On the Determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)