Plancherel distribution of Satake parameters of Maass cusp forms on $G{L}_3$

Abstract

We prove an equidistribution result for the Satake parameters of Maass cusp forms on $G{L}_3$ 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 $G{L}_3$.

References in corpus (1)

• On the GL(3) Kuznetsov Formula with applications to Symmetry Types of families of $L$-functions

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• Optimal Diophantine Exponents for $\mathrm{SL}(n)$
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• An Asymptotic Orthogonality Relation for $\mathrm{GL}(n,\mathbb{R})$
• Mollification and non-vanishing of automorphic $L$-functions on GL(3)