Prime orbit theorems with multi-dimensional constraints for Axiom A flows
We give a new proof of an asymptotic formula for the number of closed orbits of a weak-mixing Axiom A flow subject to certain constraints due to S. Lalley. We extend this result to cover the case of finite group extensions and, for transitive Anosov flows, give an application to homology. We also discuss asymptotics for closed orbits in a fixed homology class, extending a result of A. Katsuda and T. Sunada.
scientific article; zbMATH DE number 164909
scientific article