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arXiv · 1611.01253

Plancherel distribution of Satake parameters of Maass cusp forms on $GL_3$

Jack Buttcane·Fan Zhou
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Abstract

We prove an equidistribution result for the Satake parameters of Maass cusp forms on $GL_3$ with respect to the $p$-adic Plancherel measure by using an application of the Kuznetsov trace formula. The techniques developed in this paper deal with the removal of arithmetic weight $L(1,F,Ad)^{-1}$ in the Kuznetsov trace formula on $GL_3$.

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Jack Buttcane, Fan Zhou. 2016-11-04. Plancherel distribution of Satake parameters of Maass cusp forms on $GL_3$. https://doi.org/10.1093/imrn%2Frny061

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