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arXiv · 1501.01998

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

João Guerreiro
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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.

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João Guerreiro. 2015-01-08. An orthogonality relation for a thin family of $GL(3)$ Maass forms. https://doi.org/10.1142/s1793042115501031

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