Polynomially effective equidistribution holds for expanding translates and long pieces of u_R-orbits in Γ backslash G using the delta-symbol circle method.
Ratner, On Raghunathan’s measure conjecture, Ann
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Effective equidistribution of unipotent orbits in homogeneous spaces of $\SL(2,\R)\ltimes(\R^2)^{k}$
Polynomially effective equidistribution holds for expanding translates and long pieces of u_R-orbits in Γ backslash G using the delta-symbol circle method.