Pair Correlation of Hyperbolic Lattice Angles

  title={Pair Correlation of Hyperbolic Lattice Angles},
  author={Florin Boca and Alexandru Popa and Alexandru Zaharescu},
Let ω be a point in the upper half plane, and let Γ be a discrete, finite covolume subgroup of PSL2(R). We conjecture an explicit formula for the pair correlation of the angles between geodesic rays of the lattice Γω, intersected with increasingly large balls centered at ω. We prove this conjecture for Γ = PSL2(Z) and ω an elliptic point.