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paper

Towards a Polya-Carlson dichotomy for algebraic dynamics

arXiv:1307.2369 · doi:10.1016/j.indag.2014.04.005

Abstract

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