An analogue of Mertens' theorem for closed orbits of Axiom A flows
From MaRDI portal
Publication:4008412
DOI10.1007/BF01237365zbMath0761.58041OpenAlexW2052151994WikidataQ114694004 ScholiaQ114694004MaRDI QIDQ4008412
Publication date: 27 September 1992
Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01237365
Periodic solutions to ordinary differential equations (34C25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Distribution of primes (11N05)
Related Items
Estimates on the number of orbits of the Dyck shift, On graph theory Mertens' theorems, Closed orbits in quotient systems, Counting closed orbits for the Dyck shift, Counting Closed Orbits in Discrete Dynamical Systems, Mertens’ theorem for toral automorphisms, Analogues of the prime number theorem and Mertens' theorem for closed orbits of the Motzkin shift, Orbit-counting for nilpotent group shifts, Orbit growth of Dyck and Motzkin shifts via Artin–Mazur zeta function
Cites Work
- Unnamed Item
- Unnamed Item
- The arithmetic and geometry of some hyperbolic three manifolds
- An analogue of the prime number theorem for closed orbits of Axiom A flows
- Meromorphic extensions of generalised zeta functions
- The Selberg trace formula and the Riemann zeta-function
- The average measure of quadratic forms with given determinant and signature
- The Chebotarov theorem for Galois coverings of Axiom A flows
- Bowen's equidistribution theory and the Dirichlet density theorem
- Symbolic Dynamics for Hyperbolic Flows
- On the entropy of a flow
- Axiom A Diffeomorphisms have Rational Zeta Functions
- The Equidistribution of Closed Geodesics
- Periodic Orbits for Hyperbolic Flows
- Complex Variable Tauberians
- Class numbers of indefinite binary quadratic forms
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
