English

Towards a Polya-Carlson dichotomy for algebraic dynamics

Dynamical Systems 2014-07-30 v1 Number Theory

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.

Cite

@article{arxiv.1307.2369,
  title  = {Towards a Polya-Carlson dichotomy for algebraic dynamics},
  author = {Jason Bell and Richard Miles and Thomas Ward},
  journal= {arXiv preprint arXiv:1307.2369},
  year   = {2014}
}
R2 v1 2026-06-22T00:48:03.321Z