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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Agmon's complex Tauberian theorem and closed orbits for hyperbolic and geodesic flows


Author: Mark Pollicott
Journal: Proc. Amer. Math. Soc. 114 (1992), 1105-1108
MSC: Primary 58F20; Secondary 11M45, 58F17
MathSciNet review: 1045147
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Abstract: In this note we give an alternative proof of Sharp's dynamical analogue of Merten's theorem for hyperbolic flows. Our use of a tauberian theorem of Agmon also allows us to get better error terms.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1045147-X
PII: S 0002-9939(1992)1045147-X
Article copyright: © Copyright 1992 American Mathematical Society