Towards a Pólya–Carlson dichotomy for algebraic dynamics
(2014)
Journal Article
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
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.