Sector Estimates for Hyperbolic Isometries

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


We prove various orbital counting statements for Fuchsian groups of the second kind. These are of independent interest, and also are used in the companion paper [BK] to produce primes in the Affine Linear Sieve.

Original languageEnglish (US)
Pages (from-to)1175-1200
Number of pages26
JournalGeometric and Functional Analysis
Issue number5
StatePublished - Nov 2010

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology


  • Fuchsian groups
  • Hyperbolic lattice point counting
  • infinite volume
  • sector estimates


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