Rocky Mountain Journal of Mathematics

Lifting Properties of Prime Geodesics

Darin Brown

Full-text: Open access

Article information

Rocky Mountain J. Math., Volume 39, Number 2 (2009), 437-454.

First available in Project Euclid: 7 April 2009

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Brown, Darin. Lifting Properties of Prime Geodesics. Rocky Mountain J. Math. 39 (2009), no. 2, 437--454. doi:10.1216/RMJ-2009-39-2-437.

Export citation


  • Francis Borceux and George Janelidze, Galois theories, Cambridge SAM 72, Cambridge University Press, Cambridge, 2001
  • Darin Brown, Lifting properties of prime geodesics on hyperbolic surfaces, Ph.D. dissertation, University of California at Santa Barbara, 2004.
  • John Knopfmacher, Abstract analytic number theory, Dover, New York, 1975.
  • Daniel A. Marcus, Number fields, Springer-Verlag, New York, 1977.
  • Jurgen Neukirch, Algebraic number theory, CSM 322, Springer-Verlag, Berlin, 1999.
  • David Ruelle, Dynamical zeta functions and transfer operators, Notices Amer. Math. Soc. 49 (2002), 887-895.
  • Peter Sarnak, Prime geodesic theorems, Ph.D. dissertation, Stanford University, 1980.
  • Jean-Pierre Serre, Linear representations of finite groups, GTM 42, Springer-Verlag, New York, 1977.
  • Allan Sieradski, An introduction to topology and homotopy, PWS-Kent, Boston, 1992.
  • Harold Stark, and Audrey Terras, Zeta functions of finite graphs and coverings, Adv. Math. 121 (1996), 124-165.
  • --------, Zeta functions of finite graphs and coverings, Part II, Adv. Math. 154 (2000), 132-195.
  • Jeffrey Stopple, A reciprocity law for prime geodesics, J. Number Theory 29 (1988), 224-230.
  • Audrey Terras, Harmonic analysis on symmetric spaces and applications I, Springer-Verlag, New York, 1985.