Plancherel Distribution of Satake Parameters of Maass Cusp Forms on GL3

Abstract

Abstract We prove an equidistribution result for the Satake parameters of Maass cusp forms on $\operatorname{GL}_{3}$ 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 $L(1,F,\operatorname{Ad})^{-1}$ in the Kuznetsov trace formula on $\operatorname{GL}_{3}$.