an:00164909
Zbl 0765.58025
Sharp, Richard
Prime orbit theorems with multi-dimensional constraints for Axiom A flows
EN
Monatsh. Math. 114, No. 3-4, 261-304 (1992).
00011559
1992
j
37D99 37C25
\(L\)-functions; closed orbits; Axiom A flow; Anosov flows; homology
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.
R.Sharp (Warwick)