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arXiv:1606.04560 [math.DS]AbstractReferencesReviewsResources

Ruelle zeta function at zero for surfaces

Semyon Dyatlov, Maciej Zworski

Published 2016-06-14Version 1

We show that the Ruelle zeta function for a negatively curved oriented surface vanishes at zero to the order given by the absolute value of the Euler characteristic. This result was previously known only in constant curvature.

Comments: 16 pages
Categories: math.DS, math.AP, math.SP
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