Pair correlation of hyperbolic lattice angles

Research output: Contribution to journalArticlepeer-review


Let ω be a point in the upper half plane, and let be a discrete, finite covolume subgroup of PSLinf>2/inf> (R). We conjecture an explicit formula for the pair correlation of the angles between geodesic rays of the lattice ω, intersected with increasingly large balls centered at ω. We prove this conjecture for = PSL2(Z) and ω an elliptic point.

Original languageEnglish (US)
Pages (from-to)1955-1989
Number of pages35
JournalInternational Journal of Number Theory
Issue number8
StatePublished - Dec 25 2014


  • Hyperbolic lattice points
  • Pair correlation

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Pair correlation of hyperbolic lattice angles'. Together they form a unique fingerprint.

Cite this