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

Published 8 Jan 2015 in math.NT | (1501.01998v1)

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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Authors (1)

  1. João Guerreiro 

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