For simply connected simple Chevalley groups over Q, the cuspidal Weyl law for congruence subgroups holds with remainder O(T^{d-δ}) for some δ > 0, where d is the dimension of the symmetric space.
On the asymptotics of Hecke operators for reductive groups
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In this paper, we study the asymptotic behavior of the traces of Hecke operators for spherical discrete automorphic representations of fixed level on general split reductive groups over $\mathbb{Q}$. Under a condition on the analytic behavior of intertwining operators, which is known for the classical groups and the exceptional group $G_2$, we obtain the expected asymptotics in terms of the spherical Plancherel measure and an explicit estimate for the remainder.
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On the remainder term of the Weyl law for congruence subgroups of Chevalley groups
For simply connected simple Chevalley groups over Q, the cuspidal Weyl law for congruence subgroups holds with remainder O(T^{d-δ}) for some δ > 0, where d is the dimension of the symmetric space.