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Israel Journal of Mathematics

, Volume 45, Issue 1, pp 41–52 | Cite as

An analogue of the prime number theorem for closed orbits of shifts of finite type and their suspensions

  • William Parry
Article

Abstract

Following the classical procedure developed by Wiener and Ikehara for the proof of the prime number theorem we find an asymptotic formula for the number of closed orbits of a suspension of a shift of finite type when the suspended flow is topologically weak-mixing and when the suspending function is locally constant.

Keywords

Zeta Function Asymptotic Formula Exceptional Case Finite Type Closed Orbit 
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Copyright information

© The Weizmann Science Press of Israel 1983

Authors and Affiliations

  • William Parry
    • 1
  1. 1.Mathematics DepartmentUniversity of WarwickCoventryEngland

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