An analogue of Mertens' theorem for closed orbits of Axiom A flows

  • Richard Sharp
Article

Abstract

For an Axiom A flow restricted to a basic set we prove an analogue of Mertens' theorem of prime number theory. The result is also established for the geodesic flow on a non-compact, finite area surface of constant negative curvature. Applying this to the modular surface yields some asymptotic formulae concerning quadratic forms.

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Copyright information

© Sociedade Brasileira de Matemática 1991

Authors and Affiliations

  • Richard Sharp
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventryEngland

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