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arxiv: 1606.04560 · v3 · pith:NBPTOXO7new · submitted 2016-06-14 · 🧮 math.DS · math.AP· math.SP

Ruelle zeta function at zero for surfaces

Semyon Dyatlov , Maciej Zworski This is my paper
classification 🧮 math.DS math.APmath.SP
keywords functionruellezerozetaabsolutecharacteristicconstantcurvature
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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.

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