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An analogue of Bauer’s theorem for closed orbits of skew products

  • WILLIAM PARRY (a1) and MARK POLLICOTT (a1)
Abstract
Abstract

In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic systems.

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[1]M. Artin and B. Mazur . On periodic points. Ann. of Math. 81 (1965), 8299.

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[8]W. Parry . Skew products of shift with a compact Lie groups. J. London Math. Soc. 56 (1997), 395404.

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[11]P. Sarnak . Class numbers of indefinite binary quadratic forms. J. Number Theory 15 (1982), 229247.

[12]J. Stopple . A reciprocity law for prime geodesics. J. Number Theory 29 (1988), 224230.

[13]T. Sunada . Riemannian coverings and isospectral manifolds. Ann. of Math. 121 (1985), 169186.

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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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