Ruelle zeta function at zero for surfaces

被引：0
作者：
Semyon Dyatlov
Maciej Zworski
机构：
[1] Massachusetts Institute of Technology,Department of Mathematics
[2] University of California,Department of Mathematics
来源：
Inventiones mathematicae | 2017年 / 210卷
关键词：
Zeta Function; Pseudodifferential Operator; Betti Number; Cotangent Bundle; Meromorphic Continuation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：211 / 229
页数：18
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