Abstract
We extend to hyperbolic flows in all dimensions Rugh's results on the meromorphic continuation of dynamical zeta functions. In particular we show that the Ruelle zeta function of a negatively curved real analytic manifold extends to a meromorphic function on the complex plane.
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Communicated by A. Jaffe
Dedicated to Steve Smale
This work was supported in part by I.H.E.S. and the National Science Foundation.
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Fried, D. Meromorphic zeta functions for analytic flows. Commun.Math. Phys. 174, 161–190 (1995). https://doi.org/10.1007/BF02099469
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DOI: https://doi.org/10.1007/BF02099469