For self-dual GL(3) Hecke-Maass cusp forms, the normalized sum x^{-1/3} Δ_f(x) has a distribution function with quantitative convergence rate.
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Limiting Distribution and Rate of Convergence for GL(3) Fourier Coefficients
For self-dual GL(3) Hecke-Maass cusp forms, the normalized sum x^{-1/3} Δ_f(x) has a distribution function with quantitative convergence rate.