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Towards a Pólya–Carlson dichotomy for algebraic dynamics

Bell, Jason; Miles, Richard; Ward, Tom

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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 Mar 29, 2024
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.

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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.




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