Lefschetz formulae and zeta functions
Anton Deitmar
TL;DR
This paper explores the relationship between Lefschetz formulae and zeta functions, illustrating their connection through the generalized Selberg zeta function and applications to Anosov flows and prime geodesic theorems.
Contribution
It provides a detailed explanation of the link between Lefschetz formulae and zeta functions, including new applications to dynamical systems and geometric analysis.
Findings
Connection established between Lefschetz formulae and zeta functions
Generalized Selberg zeta function theory presented
Applications to Anosov flows and prime geodesic theorems demonstrated
Abstract
The connection between Lefschetz formulae and zeta function is explained. As a particular example the theory of the generalized Selberg zeta function is presented. Applications are given to the theory of Anosov flows and prime geodesic theorems.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Algebra and Geometry · Geometry and complex manifolds