Problem 6
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Zeta function for Axiom A flows and systems
 topological identification (try 1dimensional $\Omega $ first); conjugacy invariance of $\zeta (0)$.

For $C^\infty $ flows, $\zeta (s) $ has a meromorphic extension to the complex plane.

Connection with Laplacian vs. geodesic results; automorphic forms.

Anosov actions.
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FL
Pertaining to (b) True for analytic flows ([1]) and for contact Anosov flows ([2])
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