An orthogonality relation for a thin family of $GL(3)$ Maass forms
Number Theory
2015-07-20 v1
Abstract
We prove an orthogonality relation for the Fourier-Whittaker coefficients of a thin family of Maass forms containing all self-dual forms. This is obtained by analysing the Kuznetsov trace formula on for a certain family of test functions. The method also yields Weyl's law for the same family of Maass forms.
Keywords
Cite
@article{arxiv.1501.01998,
title = {An orthogonality relation for a thin family of $GL(3)$ Maass forms},
author = {João Guerreiro},
journal= {arXiv preprint arXiv:1501.01998},
year = {2015}
}