Towards a Pólya–Carlson dichotomy for algebraic dynamics

Bell, Jason; Miles, Richard; Ward, Tom

doi:10.1016/j.indag.2014.04.005

Towards a Pólya–Carlson dichotomy for algebraic dynamics

Bell, Jason; Miles, Richard; Ward, Tom

Authors

Jason Bell

Richard Miles

Tom Ward

Abstract

We present results and background rationale in support of a Pólya–Carlson dichotomy between rationality and a natural boundary for the analytic behaviour of dynamical zeta functions of compact group automorphisms.

Citation

Bell, J., Miles, R., & Ward, T. (2014). Towards a Pólya–Carlson dichotomy for algebraic dynamics. Indagationes Mathematicae, 25(4), 652-668. https://doi.org/10.1016/j.indag.2014.04.005

Journal Article Type	Article
Publication Date	Jun 27, 2014
Deposit Date	May 1, 2014
Publicly Available Date	Jun 26, 2014
Journal	Indagationes Mathematicae
Print ISSN	0019-3577
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	25
Issue	4
Pages	652-668
DOI	https://doi.org/10.1016/j.indag.2014.04.005
Keywords	Dynamical zeta function, Natural boundary, Group automorphism.
Public URL	https://durham-repository.worktribe.com/output/1433575

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Indagationes Mathematicae. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Indagationes Mathematicae, 21, 4, 2014, 10.1016/j.indag.2014.04.005.