scientific article; zbMATH DE number 2236671

zbMath1115.37015arXivmath/0407166MaRDI QIDQ5711923

Victoria Stangoe, Thomas B. Ward, Graham Everest

Publication date: 8 December 2005

Full work available at URL: https://arxiv.org/abs/math/0407166

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zbMATH Keywords

periodic orbitszeta functionMertens' theoremnonhyperbolic dynamics

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Distribution of primes (11N05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Arithmetic properties of periodic points (37P35)

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Pólya-Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions ⋮ Dynamical zeta functions of Reidemeister type and representations spaces ⋮ Integer sequences and dynamics ⋮ Dynamical zeta functions of Reidemeister type ⋮ Towards a Pólya-Carlson dichotomy for algebraic dynamics ⋮ Dirichlet series for finite combinatorial rank dynamics ⋮ Synchronization points and associated dynamical invariants ⋮ A natural boundary for the dynamical zeta function for commuting group automorphisms ⋮ Dold sequences, periodic points, and dynamics

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