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Plancherel Distribution of Satake Parameters of Maass Cusp Forms on GL3

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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… Click to show full 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 $GL_3$.

Keywords: satake parameters; cusp forms; parameters maass; maass cusp

Journal Title: International Mathematics Research Notices
Year Published: 2020

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