Jason Bell
Towards a Pólya–Carlson dichotomy for algebraic dynamics
Bell, Jason; Miles, Richard; Ward, Tom
Authors
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.
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