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Uniform estimates for closed geodesics and homology on finite area hyperbolic surfaces

Published online by Cambridge University Press:  07 July 2004

RICHARD SHARP
RICHARD SHARP
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL. e-mail: [email protected]
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Abstract

We study the distribution of closed geodesics in homology on a finite area hyperbolic surface. We obtain an estimate which is uniform as the homology class varies, refining an asymptotic formula due to C. Epstein.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 1 , July 2004 , pp. 245 - 254
Copyright
2004 Cambridge Philosophical Society

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