Towards a Polya-Carlson dichotomy for algebraic dynamics
classification
🧮 math.DS
math.NT
keywords
dichotomyalgebraicanalyticautomorphismsbackgroundbehaviourboundarycompact
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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.
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