Prime orbit theorems with multi-dimensional constraints for Axiom A flows
type: Item
instance of: scholarly article
title: Prime orbit theorems with multi-dimensional constraints for Axiom A flows
zbMATH Open document ID: 0765.58025
DOI: 10.1007/BF01299384
author: Richard Sharp
published in: Monatshefte für Mathematik
publication date: 1993-05-12T00:00:00Z
full work available at URL: https://eudml.org/doc/178591
review text: 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.
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 37C25
zbMATH DE Number: 164909
zbMATH Keywords: \(L\)-functions
zbMATH Keywords: closed orbits
zbMATH Keywords: Axiom A flow
zbMATH Keywords: Anosov flows
zbMATH Keywords: homology
Wikidata QID: Q114693970
MaRDI profile type: Publication
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OpenAlex ID: W2057976497
description: scientific article; zbMATH DE number 164909