Matrix Coefficients , Counting and Primes for Orbits of Geometrically Finite Groups

@inproceedings{Mohammadi2015MatrixC,
  title={Matrix Coefficients , Counting and Primes for Orbits of Geometrically Finite Groups},
  author={Amir Sheikh Mohammadi and OH HEE},
  year={2015}
}
Let G := SO(n, 1)◦ and Γ < G be a geometrically finite Zariski dense subgroup with critical exponent δ bigger than (n − 1)/2. Under a spectral gap hypothesis on L(Γ\G), which is always satisfied when δ > (n − 1)/2 for n = 2, 3 and when δ > n − 2 for n ≥ 4, we obtain an effective archimedean counting result for a discrete orbit of Γ in a homogeneous space H… CONTINUE READING