Sector Estimates for Hyperbolic Isometries

Jean Bourgain, Alex Kontorovich, Peter Sarnak

Research output: Contribution to journalArticle

17 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 1 2010

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology


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

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