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.

Locations

• International Journal of Number Theory - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View